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Simplifying 5(-2x + 1) = -9(2x + 1) Reorder the terms: 5(1 + -2x) = -9(2x + 1) (1 * 5 + -2x * 5) = -9(2x + 1) (5 + -10x) = -9(2x + 1) Reorder the terms: 5 + -10x = -9(1 + 2x) 5 + -10x = (1 * -9 + 2x * -9) 5 + -10x = (-9 + -18x) Solving 5 + -10x = -9 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 5 + -10x + 18x = -9 + -18x + 18x Combine like terms: -10x + 18x = 8x 5 + 8x = -9 + -18x + 18x Combine like terms: -18x + 18x = 0 5 + 8x = -9 + 0 5 + 8x = -9 Add '-5' to each side of the equation. 5 + -5 + 8x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = -9 + -5 8x = -9 + -5 Combine like terms: -9 + -5 = -14 8x = -14 Divide each side by '8'. x = -1.75 Simplifying x = -1.75
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