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Simplifying 2x + -4(x + -2) + 3(2x + 12) + -1(4 + x) = -131 Reorder the terms: 2x + -4(-2 + x) + 3(2x + 12) + -1(4 + x) = -131 2x + (-2 * -4 + x * -4) + 3(2x + 12) + -1(4 + x) = -131 2x + (8 + -4x) + 3(2x + 12) + -1(4 + x) = -131 Reorder the terms: 2x + 8 + -4x + 3(12 + 2x) + -1(4 + x) = -131 2x + 8 + -4x + (12 * 3 + 2x * 3) + -1(4 + x) = -131 2x + 8 + -4x + (36 + 6x) + -1(4 + x) = -131 2x + 8 + -4x + 36 + 6x + (4 * -1 + x * -1) = -131 2x + 8 + -4x + 36 + 6x + (-4 + -1x) = -131 Reorder the terms: 8 + 36 + -4 + 2x + -4x + 6x + -1x = -131 Combine like terms: 8 + 36 = 44 44 + -4 + 2x + -4x + 6x + -1x = -131 Combine like terms: 44 + -4 = 40 40 + 2x + -4x + 6x + -1x = -131 Combine like terms: 2x + -4x = -2x 40 + -2x + 6x + -1x = -131 Combine like terms: -2x + 6x = 4x 40 + 4x + -1x = -131 Combine like terms: 4x + -1x = 3x 40 + 3x = -131 Solving 40 + 3x = -131 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 3x = -131 + -40 Combine like terms: 40 + -40 = 0 0 + 3x = -131 + -40 3x = -131 + -40 Combine like terms: -131 + -40 = -171 3x = -171 Divide each side by '3'. x = -57 Simplifying x = -57
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