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Simplifying -1(x + 12) = -12(1 + -8x) Reorder the terms: -1(12 + x) = -12(1 + -8x) (12 * -1 + x * -1) = -12(1 + -8x) (-12 + -1x) = -12(1 + -8x) -12 + -1x = (1 * -12 + -8x * -12) -12 + -1x = (-12 + 96x) Add '12' to each side of the equation. -12 + 12 + -1x = -12 + 12 + 96x Combine like terms: -12 + 12 = 0 0 + -1x = -12 + 12 + 96x -1x = -12 + 12 + 96x Combine like terms: -12 + 12 = 0 -1x = 0 + 96x -1x = 96x Solving -1x = 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. -1x + -96x = 96x + -96x Combine like terms: -1x + -96x = -97x -97x = 96x + -96x Combine like terms: 96x + -96x = 0 -97x = 0 Divide each side by '-97'. x = 0 Simplifying x = 0
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