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Simplifying -1(-1x + -9) = 5(-2x + 4) Reorder the terms: -1(-9 + -1x) = 5(-2x + 4) (-9 * -1 + -1x * -1) = 5(-2x + 4) (9 + 1x) = 5(-2x + 4) Reorder the terms: 9 + 1x = 5(4 + -2x) 9 + 1x = (4 * 5 + -2x * 5) 9 + 1x = (20 + -10x) Solving 9 + 1x = 20 + -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. 9 + 1x + 10x = 20 + -10x + 10x Combine like terms: 1x + 10x = 11x 9 + 11x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 9 + 11x = 20 + 0 9 + 11x = 20 Add '-9' to each side of the equation. 9 + -9 + 11x = 20 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 20 + -9 11x = 20 + -9 Combine like terms: 20 + -9 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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