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Simplifying -1(-12 + -8x) = 12(x + 6) (-12 * -1 + -8x * -1) = 12(x + 6) (12 + 8x) = 12(x + 6) Reorder the terms: 12 + 8x = 12(6 + x) 12 + 8x = (6 * 12 + x * 12) 12 + 8x = (72 + 12x) Solving 12 + 8x = 72 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + 8x + -12x = 72 + 12x + -12x Combine like terms: 8x + -12x = -4x 12 + -4x = 72 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -4x = 72 + 0 12 + -4x = 72 Add '-12' to each side of the equation. 12 + -12 + -4x = 72 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 72 + -12 -4x = 72 + -12 Combine like terms: 72 + -12 = 60 -4x = 60 Divide each side by '-4'. x = -15 Simplifying x = -15
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