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Simplifying -4(x + -1) = 2x + -3(x + 6) Reorder the terms: -4(-1 + x) = 2x + -3(x + 6) (-1 * -4 + x * -4) = 2x + -3(x + 6) (4 + -4x) = 2x + -3(x + 6) Reorder the terms: 4 + -4x = 2x + -3(6 + x) 4 + -4x = 2x + (6 * -3 + x * -3) 4 + -4x = 2x + (-18 + -3x) Reorder the terms: 4 + -4x = -18 + 2x + -3x Combine like terms: 2x + -3x = -1x 4 + -4x = -18 + -1x Solving 4 + -4x = -18 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + -4x + x = -18 + -1x + x Combine like terms: -4x + x = -3x 4 + -3x = -18 + -1x + x Combine like terms: -1x + x = 0 4 + -3x = -18 + 0 4 + -3x = -18 Add '-4' to each side of the equation. 4 + -4 + -3x = -18 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -18 + -4 -3x = -18 + -4 Combine like terms: -18 + -4 = -22 -3x = -22 Divide each side by '-3'. x = 7.333333333 Simplifying x = 7.333333333
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