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Simplifying 5(-2x + 1) = -9(x + 1) Reorder the terms: 5(1 + -2x) = -9(x + 1) (1 * 5 + -2x * 5) = -9(x + 1) (5 + -10x) = -9(x + 1) Reorder the terms: 5 + -10x = -9(1 + x) 5 + -10x = (1 * -9 + x * -9) 5 + -10x = (-9 + -9x) Solving 5 + -10x = -9 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 5 + -10x + 9x = -9 + -9x + 9x Combine like terms: -10x + 9x = -1x 5 + -1x = -9 + -9x + 9x Combine like terms: -9x + 9x = 0 5 + -1x = -9 + 0 5 + -1x = -9 Add '-5' to each side of the equation. 5 + -5 + -1x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -9 + -5 -1x = -9 + -5 Combine like terms: -9 + -5 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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