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Simplifying 9(x + -1) = 5(2x + 3) Reorder the terms: 9(-1 + x) = 5(2x + 3) (-1 * 9 + x * 9) = 5(2x + 3) (-9 + 9x) = 5(2x + 3) Reorder the terms: -9 + 9x = 5(3 + 2x) -9 + 9x = (3 * 5 + 2x * 5) -9 + 9x = (15 + 10x) Solving -9 + 9x = 15 + 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 + 9x + -10x = 15 + 10x + -10x Combine like terms: 9x + -10x = -1x -9 + -1x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -9 + -1x = 15 + 0 -9 + -1x = 15 Add '9' to each side of the equation. -9 + 9 + -1x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 15 + 9 -1x = 15 + 9 Combine like terms: 15 + 9 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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