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Simplifying -9(x + 12) = -10(x + 10) Reorder the terms: -9(12 + x) = -10(x + 10) (12 * -9 + x * -9) = -10(x + 10) (-108 + -9x) = -10(x + 10) Reorder the terms: -108 + -9x = -10(10 + x) -108 + -9x = (10 * -10 + x * -10) -108 + -9x = (-100 + -10x) Solving -108 + -9x = -100 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -108 + -9x + 10x = -100 + -10x + 10x Combine like terms: -9x + 10x = 1x -108 + 1x = -100 + -10x + 10x Combine like terms: -10x + 10x = 0 -108 + 1x = -100 + 0 -108 + 1x = -100 Add '108' to each side of the equation. -108 + 108 + 1x = -100 + 108 Combine like terms: -108 + 108 = 0 0 + 1x = -100 + 108 1x = -100 + 108 Combine like terms: -100 + 108 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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