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Simplifying -9(x + -1) + -5x = -9 + 10(x + 9) Reorder the terms: -9(-1 + x) + -5x = -9 + 10(x + 9) (-1 * -9 + x * -9) + -5x = -9 + 10(x + 9) (9 + -9x) + -5x = -9 + 10(x + 9) Combine like terms: -9x + -5x = -14x 9 + -14x = -9 + 10(x + 9) Reorder the terms: 9 + -14x = -9 + 10(9 + x) 9 + -14x = -9 + (9 * 10 + x * 10) 9 + -14x = -9 + (90 + 10x) Combine like terms: -9 + 90 = 81 9 + -14x = 81 + 10x Solving 9 + -14x = 81 + 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 + -14x + -10x = 81 + 10x + -10x Combine like terms: -14x + -10x = -24x 9 + -24x = 81 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + -24x = 81 + 0 9 + -24x = 81 Add '-9' to each side of the equation. 9 + -9 + -24x = 81 + -9 Combine like terms: 9 + -9 = 0 0 + -24x = 81 + -9 -24x = 81 + -9 Combine like terms: 81 + -9 = 72 -24x = 72 Divide each side by '-24'. x = -3 Simplifying x = -3
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