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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 = 84 -4x = 84 Divide each side by '-4'. x = -21 Simplifying x = -21
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