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Simplifying 9 + -1(5x + -6) = 8(9 + -2x) Reorder the terms: 9 + -1(-6 + 5x) = 8(9 + -2x) 9 + (-6 * -1 + 5x * -1) = 8(9 + -2x) 9 + (6 + -5x) = 8(9 + -2x) Combine like terms: 9 + 6 = 15 15 + -5x = 8(9 + -2x) 15 + -5x = (9 * 8 + -2x * 8) 15 + -5x = (72 + -16x) Solving 15 + -5x = 72 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 15 + -5x + 16x = 72 + -16x + 16x Combine like terms: -5x + 16x = 11x 15 + 11x = 72 + -16x + 16x Combine like terms: -16x + 16x = 0 15 + 11x = 72 + 0 15 + 11x = 72 Add '-15' to each side of the equation. 15 + -15 + 11x = 72 + -15 Combine like terms: 15 + -15 = 0 0 + 11x = 72 + -15 11x = 72 + -15 Combine like terms: 72 + -15 = 57 11x = 57 Divide each side by '11'. x = 5.181818182 Simplifying x = 5.181818182
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