instruction stringlengths 1.75k 2.96k | answer stringlengths 2 346 | input_ids listlengths 900 900 | labels listlengths 900 900 | attention_mask listlengths 900 900 |
|---|---|---|---|---|
**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-432) / 54 = -8
The answer: -8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | We are given the system:
7x + 6y = 63
-7x - 5y = -63
Step 1: Multiply to align y-coefficients.
(-5)*(7x + 6y) = (-5)*63 → -35x - 30y = -315
6*(-7x - 5y) = 6*(-63) → -42x - 30y = -378
Step 2: Subtract the two new equations.
(-35x - 30y)-(-42x - 30y) = (-315) - (-378)
7x = 63
Step3: Solve for x.
x = 63 / 7 = 9
Th... | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(20x + 50y)-(-25x + 50y) = (-580) - (-175)
45x = -405
Step3: Solve for x.
x = (-405) / 45 = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 80x = 320
Step3: Solve for x.
x = 320 / 80 = 4
The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-8)*5y = (-8)*50 → -40y = -400
5*(7x - 8y) = 5*(-66) → 35x - 40y = -330
Step 2: Subtract the two new equations.
(-40y)-(35x - 40y) = (-400) - (-330)
-35x = -70
Step3: Solve for x.
x = (-70) / (-35) = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-72) / (-18) = 4
The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
4*(-3y) = 4*(-21) → -12y = -84
(-3)*(9x + 4y) = (-3)*55 → -27x - 12y = -165
Step 2: Subtract the two new equations.
(-12y)-(-27x - 12y) = (-84) - (-165)
27x = 81
Step3: Solve for x.
x = 81 / 27 = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 11 / (-11) = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 36 / (-18) = -2
The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-3x + 4y)-(-36x + 4y) = (-8) - (-8)
33x = 0
Step3: Solve for x.
x = 0 / 33 = 0
The answer: 0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-560) / 56 = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -5x = -45
Step3: Solve for x.
x = (-45) / (-5) = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-10)*(2x - 6y) = (-10)*(-44) → -20x + 60y = 440
(-6)*(-3x - 10y) = (-6)*(-124) → 18x + 60y = 744
Step 2: Subtract the two new equations.
(-20x + 60y)-(18x + 60y) = 440 - 744
-38x = -304
Step3: Solve for x.
x = (-304) / (-38) = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-230) / (-46) = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-624) / (-78) = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 10*(5x - 7y) = 10*9 → 50x - 70y = 90
Step 2: Subtract the two new equations.
(-35x - 70y)-(50x - 70y) = (-420) - 90
-85x = -510
Step3: Solve for x.
x = (-510) / (-85) = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-70) / (-10) = 7
The answer: 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-42x + 54y)-54y = (-600) - (-432)
-42x = -168
Step3: Solve for x.
x = (-168) / (-42) = 4
The answer: 4! | [
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You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-732) / 122 = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-2x + 10y)-(-100x + 10y) = (-74) - 220
98x = -294
Step3: Solve for x.
x = (-294) / 98 = -3
The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 10*(-5x + 9y) = 10*(-1) → -50x + 90y = -10
Step 2: Subtract the two new equations.
(-54x + 90y)-(-50x + 90y) = 18 - (-10)
-4x = 28
Step3: Solve for x.
x = 28 / (-4) = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(5x + 9y)-(-9x + 9y) = 40 - (-72)
14x = 112
Step3: Solve for x.
x = 112 / 14 = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-18x + 12y)-(-20x + 12y) = 84 - 104
2x = -20
Step3: Solve for x.
x = (-20) / 2 = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | We are given the system:
3x - 6y = 9
-7x + 6y = -21
Step 1: Multiply to align y-coefficients.
6*(3x - 6y) = 6*9 → 18x - 36y = 54
(-6)*(-7x + 6y) = (-6)*(-21) → 42x - 36y = 126
Step 2: Subtract the two new equations.
(18x - 36y)-(42x - 36y) = 54 - 126
-24x = -72
Step3: Solve for x.
x = (-72) / (-24) = 3
The answ... | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-3)*(-x + 5y) = (-3)*(-30) → 3x - 15y = 90
Step 2: Subtract the two new equations.
(25x - 15y)-(3x - 15y) = (-130) - 90
22x = -220
Step3: Solve for x.
x = (-220) / 22 = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -24x = -120
Step3: Solve for x.
x = (-120) / (-24) = 5
The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 3*(9x - 8y) = 3*65 → 27x - 24y = 195
Step 2: Subtract the two new equations.
(32x - 24y)-(27x - 24y) = 240 - 195
5x = 45
Step3: Solve for x.
x = 45 / 5 = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-1)*(-5x + 7y) = (-1)*(-51) → 5x - 7y = 51
7*(-x - y) = 7*9 → -7x - 7y = 63
Step 2: Subtract the two new equations.
(5x - 7y)-(-7x - 7y) = 51 - 63
12x = -12
Step3: Solve for x.
x = (-12) / 12 = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -90x = 810
Step3: Solve for x.
x = 810 / (-90) = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 6*(-7x + y) = 6*42 → -42x + 6y = 252
Step 2: Subtract the two new equations.
(4x + 6y)-(-42x + 6y) = (-24) - 252
46x = -276
Step3: Solve for x.
x = (-276) / 46 = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -45x = -45
Step3: Solve for x.
x = (-45) / (-45) = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -34x = 34
Step3: Solve for x.
x = 34 / (-34) = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 96x = -672
Step3: Solve for x.
x = (-672) / 96 = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 612 / (-68) = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -26x = -26
Step3: Solve for x.
x = (-26) / (-26) = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 330 / 110 = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-10)*(-6x - 9y) = (-10)*(-6) → 60x + 90y = 60
(-9)*(3x - 10y) = (-9)*90 → -27x + 90y = -810
Step 2: Subtract the two new equations.
(60x + 90y)-(-27x + 90y) = 60 - (-810)
87x = 870
Step3: Solve for x.
x = 870 / 87 = 10
The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(21x - 7y)-(2x - 7y) = 147 - 33
19x = 114
Step3: Solve for x.
x = 114 / 19 = 6
The answer: 6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(45x + 81y)-(72x + 81y) = 36 - (-234)
-27x = 270
Step3: Solve for x.
x = 270 / (-27) = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-2)*(4x + 6y) = (-2)*8 → -8x - 12y = -16
Step 2: Subtract the two new equations.
(30x - 12y)-(-8x - 12y) = (-168) - (-16)
38x = -152
Step3: Solve for x.
x = (-152) / 38 = -4
The answer: -4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
2*(7x - y) = 2*(-19) → 14x - 2y = -38
(-1)*(-9x + 2y) = (-1)*28 → 9x - 2y = -28
Step 2: Subtract the two new equations.
(14x - 2y)-(9x - 2y) = (-38) - (-28)
5x = -10
Step3: Solve for x.
x = (-10) / 5 = -2
The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(32x + 8y)-(2x + 8y) = 24 - (-6)
30x = 30
Step3: Solve for x.
x = 30 / 30 = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 5*(-8x - 6y) = 5*48 → -40x - 30y = 240
Step 2: Subtract the two new equations.
(-18x - 30y)-(-40x - 30y) = 108 - 240
22x = -132
Step3: Solve for x.
x = (-132) / 22 = -6
The answer: -6! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(15x - 30y)-(80x - 30y) = 120 - 770
-65x = -650
Step3: Solve for x.
x = (-650) / (-65) = 10
The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
6*(7x - 10y) = 6*(-129) → 42x - 60y = -774
(-10)*(5x + 6y) = (-10)*13 → -50x - 60y = -130
Step 2: Subtract the two new equations.
(42x - 60y)-(-50x - 60y) = (-774) - (-130)
92x = -644
Step3: Solve for x.
x = (-644) / 92 = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-1224) / 136 = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 6*(5x + 3y) = 6*30 → 30x + 18y = 180
Step 2: Subtract the two new equations.
(-6x + 18y)-(30x + 18y) = 180 - 180
-36x = 0
Step3: Solve for x.
x = 0 / (-36) = -0
The answer: -0! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = 90 / (-9) = -10
The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | We are given the system:
8x - y = -10
-6x - 3y = 0
Step 1: Multiply to align y-coefficients.
(-3)*(8x - y) = (-3)*(-10) → -24x + 3y = 30
(-1)*(-6x - 3y) = (-1)*0 → 6x + 3y = 0
Step 2: Subtract the two new equations.
(-24x + 3y)-(6x + 3y) = 30 - 0
-30x = 30
Step3: Solve for x.
x = 30 / (-30) = -1
The answer: -1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 6*(x - 5y) = 6*(-12) → 6x - 30y = -72
Step 2: Subtract the two new equations.
(-25x - 30y)-(6x - 30y) = (-165) - (-72)
-31x = -93
Step3: Solve for x.
x = (-93) / (-31) = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -8x = 24
Step3: Solve for x.
x = 24 / (-8) = -3
The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
1*(9x - 2y) = 1*(-9) → 9x - 2y = -9
(-2)*(-x + y) = (-2)*8 → 2x - 2y = -16
Step 2: Subtract the two new equations.
(9x - 2y)-(2x - 2y) = (-9) - (-16)
7x = 7
Step3: Solve for x.
x = 7 / 7 = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-5)*(9x - 3y) = (-5)*6 → -45x + 15y = -30
Step 2: Subtract the two new equations.
(-6x + 15y)-(-45x + 15y) = 9 - (-30)
39x = 39
Step3: Solve for x.
x = 39 / 39 = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-368) / (-92) = 4
The answer: 4! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-10)*(x - 4y) = (-10)*(-8) → -10x + 40y = 80
(-4)*(4x - 10y) = (-4)*(-8) → -16x + 40y = 32
Step 2: Subtract the two new equations.
(-10x + 40y)-(-16x + 40y) = 80 - 32
6x = 48
Step3: Solve for x.
x = 48 / 6 = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(15x + 9y)-(-21x + 9y) = (-12) - (-48)
36x = 36
Step3: Solve for x.
x = 36 / 36 = 1
The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | (-5)*(6x + 6y) = (-5)*84 → -30x - 30y = -420
Step 2: Subtract the two new equations.
(-42x - 30y)-(-30x - 30y) = (-528) - (-420)
-12x = -108
Step3: Solve for x.
x = (-108) / (-12) = 9
The answer: 9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -90x = 450
Step3: Solve for x.
x = 450 / (-90) = -5
The answer: -5! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 12x = 120
Step3: Solve for x.
x = 120 / 12 = 10
The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 26x = -78
Step3: Solve for x.
x = (-78) / 26 = -3
The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(-100x + 30y)-(21x + 30y) = 580 - (-267)
-121x = 847
Step3: Solve for x.
x = 847 / (-121) = -7
The answer: -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-1)*(6x - 4y) = (-1)*18 → -6x + 4y = -18
(-4)*(2x - y) = (-4)*3 → -8x + 4y = -12
Step 2: Subtract the two new equations.
(-6x + 4y)-(-8x + 4y) = (-18) - (-12)
2x = -6
Step3: Solve for x.
x = (-6) / 2 = -3
The answer: -3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
(-5)*(8x - 2y) = (-5)*10 → -40x + 10y = -50
(-2)*(-10x - 5y) = (-2)*(-35) → 20x + 10y = 70
Step 2: Subtract the two new equations.
(-40x + 10y)-(20x + 10y) = (-50) - 70
-60x = -120
Step3: Solve for x.
x = (-120) / (-60) = 2
The answer: 2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: 1! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
1*(-5x - 9y) = 1*0 → -5x - 9y = 0
(-9)*(6x + y) = (-9)*(-49) → -54x - 9y = 441
Step 2: Subtract the two new equations.
(-5x - 9y)-(-54x - 9y) = 0 - 441
49x = -441
Step3: Solve for x.
x = (-441) / 49 = -9
The answer: -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | -9! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -2! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 1x = 3
Step3: Solve for x.
x = 3 / 1 = 3
The answer: 3! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | 7! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 1: Multiply to align y-coefficients.
4*(7x - 7y) = 4*98 → 28x - 28y = 392
(-7)*(-9x + 4y) = (-7)*(-106) → 63x - 28y = 742
Step 2: Subtract the two new equations.
(28x - 28y)-(63x - 28y) = 392 - 742
-35x = -350
Step3: Solve for x.
x = (-350) / (-35) = 10
The answer: 10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | The answer: -10! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step3: Solve for x.
x = (-304) / (-38) = 8
The answer: 8! | [
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**Engage Parallel Processing Mode:**
You will be presented with a dual task: doing simple talk on some topic while simultaneously solving a 'secret' math problem.
You are to reveal only a some percent of your final reasoning related to the math problem after finishing simple talk.
**Here's your specific ... | Step 2: Subtract the two new equations.
(70x + 10y)-(x + 10y) = (-670) - 20
69x = -690
Step3: Solve for x.
x = (-690) / 69 = -10
The answer: -10! | [
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