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Simplifying [37 + -1(x + -1) * 3] * 2 = 14 Reorder the terms: [37 + -1(-1 + x) * 3] * 2 = 14 Reorder the terms for easier multiplication: [37 + -1 * 3(-1 + x)] * 2 = 14 Multiply -1 * 3 [37 + -3(-1 + x)] * 2 = 14 [37 + (-1 * -3 + x * -3)] * 2 = 14 [37 + (3 + -3x)] * 2 = 14 Combine like terms: 37 + 3 = 40 [40 + -3x] * 2 = 14 Reorder the terms for easier multiplication: 2[40 + -3x] = 14 [40 * 2 + -3x * 2] = 14 [80 + -6x] = 14 Solving 80 + -6x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -6x = 14 + -80 Combine like terms: 80 + -80 = 0 0 + -6x = 14 + -80 -6x = 14 + -80 Combine like terms: 14 + -80 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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