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Simplifying 5(3 + -2x) = 9(-3x + 13) (3 * 5 + -2x * 5) = 9(-3x + 13) (15 + -10x) = 9(-3x + 13) Reorder the terms: 15 + -10x = 9(13 + -3x) 15 + -10x = (13 * 9 + -3x * 9) 15 + -10x = (117 + -27x) Solving 15 + -10x = 117 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 15 + -10x + 27x = 117 + -27x + 27x Combine like terms: -10x + 27x = 17x 15 + 17x = 117 + -27x + 27x Combine like terms: -27x + 27x = 0 15 + 17x = 117 + 0 15 + 17x = 117 Add '-15' to each side of the equation. 15 + -15 + 17x = 117 + -15 Combine like terms: 15 + -15 = 0 0 + 17x = 117 + -15 17x = 117 + -15 Combine like terms: 117 + -15 = 102 17x = 102 Divide each side by '17'. x = 6 Simplifying x = 6
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