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Simplifying x + -1(4x + 6) + -102 = 180 Reorder the terms: x + -1(6 + 4x) + -102 = 180 x + (6 * -1 + 4x * -1) + -102 = 180 x + (-6 + -4x) + -102 = 180 Reorder the terms: -6 + -102 + x + -4x = 180 Combine like terms: -6 + -102 = -108 -108 + x + -4x = 180 Combine like terms: x + -4x = -3x -108 + -3x = 180 Solving -108 + -3x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '108' to each side of the equation. -108 + 108 + -3x = 180 + 108 Combine like terms: -108 + 108 = 0 0 + -3x = 180 + 108 -3x = 180 + 108 Combine like terms: 180 + 108 = 288 -3x = 288 Divide each side by '-3'. x = -96 Simplifying x = -96
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