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Simplifying -12(x + -8) = -8(2x + -1) Reorder the terms: -12(-8 + x) = -8(2x + -1) (-8 * -12 + x * -12) = -8(2x + -1) (96 + -12x) = -8(2x + -1) Reorder the terms: 96 + -12x = -8(-1 + 2x) 96 + -12x = (-1 * -8 + 2x * -8) 96 + -12x = (8 + -16x) Solving 96 + -12x = 8 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 96 + -12x + 16x = 8 + -16x + 16x Combine like terms: -12x + 16x = 4x 96 + 4x = 8 + -16x + 16x Combine like terms: -16x + 16x = 0 96 + 4x = 8 + 0 96 + 4x = 8 Add '-96' to each side of the equation. 96 + -96 + 4x = 8 + -96 Combine like terms: 96 + -96 = 0 0 + 4x = 8 + -96 4x = 8 + -96 Combine like terms: 8 + -96 = -88 4x = -88 Divide each side by '4'. x = -22 Simplifying x = -22
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