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Simplifying -8(x + 12) = -2(x + -9) Reorder the terms: -8(12 + x) = -2(x + -9) (12 * -8 + x * -8) = -2(x + -9) (-96 + -8x) = -2(x + -9) Reorder the terms: -96 + -8x = -2(-9 + x) -96 + -8x = (-9 * -2 + x * -2) -96 + -8x = (18 + -2x) Solving -96 + -8x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -96 + -8x + 2x = 18 + -2x + 2x Combine like terms: -8x + 2x = -6x -96 + -6x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -96 + -6x = 18 + 0 -96 + -6x = 18 Add '96' to each side of the equation. -96 + 96 + -6x = 18 + 96 Combine like terms: -96 + 96 = 0 0 + -6x = 18 + 96 -6x = 18 + 96 Combine like terms: 18 + 96 = 114 -6x = 114 Divide each side by '-6'. x = -19 Simplifying x = -19
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