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Simplifying -5(x + -9) = -10(x + -9) Reorder the terms: -5(-9 + x) = -10(x + -9) (-9 * -5 + x * -5) = -10(x + -9) (45 + -5x) = -10(x + -9) Reorder the terms: 45 + -5x = -10(-9 + x) 45 + -5x = (-9 * -10 + x * -10) 45 + -5x = (90 + -10x) Solving 45 + -5x = 90 + -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. 45 + -5x + 10x = 90 + -10x + 10x Combine like terms: -5x + 10x = 5x 45 + 5x = 90 + -10x + 10x Combine like terms: -10x + 10x = 0 45 + 5x = 90 + 0 45 + 5x = 90 Add '-45' to each side of the equation. 45 + -45 + 5x = 90 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 90 + -45 5x = 90 + -45 Combine like terms: 90 + -45 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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