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Simplifying -12(x + -2) = -8(x + -9) Reorder the terms: -12(-2 + x) = -8(x + -9) (-2 * -12 + x * -12) = -8(x + -9) (24 + -12x) = -8(x + -9) Reorder the terms: 24 + -12x = -8(-9 + x) 24 + -12x = (-9 * -8 + x * -8) 24 + -12x = (72 + -8x) Solving 24 + -12x = 72 + -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. 24 + -12x + 8x = 72 + -8x + 8x Combine like terms: -12x + 8x = -4x 24 + -4x = 72 + -8x + 8x Combine like terms: -8x + 8x = 0 24 + -4x = 72 + 0 24 + -4x = 72 Add '-24' to each side of the equation. 24 + -24 + -4x = 72 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 72 + -24 -4x = 72 + -24 Combine like terms: 72 + -24 = 48 -4x = 48 Divide each side by '-4'. x = -12 Simplifying x = -12
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