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Simplifying -6(-1x + -12) = 8(x + 12) Reorder the terms: -6(-12 + -1x) = 8(x + 12) (-12 * -6 + -1x * -6) = 8(x + 12) (72 + 6x) = 8(x + 12) Reorder the terms: 72 + 6x = 8(12 + x) 72 + 6x = (12 * 8 + x * 8) 72 + 6x = (96 + 8x) Solving 72 + 6x = 96 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 72 + 6x + -8x = 96 + 8x + -8x Combine like terms: 6x + -8x = -2x 72 + -2x = 96 + 8x + -8x Combine like terms: 8x + -8x = 0 72 + -2x = 96 + 0 72 + -2x = 96 Add '-72' to each side of the equation. 72 + -72 + -2x = 96 + -72 Combine like terms: 72 + -72 = 0 0 + -2x = 96 + -72 -2x = 96 + -72 Combine like terms: 96 + -72 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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