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Simplifying 7((3x + -8) + -1(3x + -9) + -2x) + -1(5x + -8) = 9(3x + 5) Reorder the terms: 7((-8 + 3x) + -1(3x + -9) + -2x) + -1(5x + -8) = 9(3x + 5) Remove parenthesis around (-8 + 3x) 7(-8 + 3x + -1(3x + -9) + -2x) + -1(5x + -8) = 9(3x + 5) Reorder the terms: 7(-8 + 3x + -1(-9 + 3x) + -2x) + -1(5x + -8) = 9(3x + 5) 7(-8 + 3x + (-9 * -1 + 3x * -1) + -2x) + -1(5x + -8) = 9(3x + 5) 7(-8 + 3x + (9 + -3x) + -2x) + -1(5x + -8) = 9(3x + 5) Reorder the terms: 7(-8 + 9 + 3x + -3x + -2x) + -1(5x + -8) = 9(3x + 5) Combine like terms: -8 + 9 = 1 7(1 + 3x + -3x + -2x) + -1(5x + -8) = 9(3x + 5) Combine like terms: 3x + -3x = 0 7(1 + 0 + -2x) + -1(5x + -8) = 9(3x + 5) 7(1 + -2x) + -1(5x + -8) = 9(3x + 5) (1 * 7 + -2x * 7) + -1(5x + -8) = 9(3x + 5) (7 + -14x) + -1(5x + -8) = 9(3x + 5) Reorder the terms: 7 + -14x + -1(-8 + 5x) = 9(3x + 5) 7 + -14x + (-8 * -1 + 5x * -1) = 9(3x + 5) 7 + -14x + (8 + -5x) = 9(3x + 5) Reorder the terms: 7 + 8 + -14x + -5x = 9(3x + 5) Combine like terms: 7 + 8 = 15 15 + -14x + -5x = 9(3x + 5) Combine like terms: -14x + -5x = -19x 15 + -19x = 9(3x + 5) Reorder the terms: 15 + -19x = 9(5 + 3x) 15 + -19x = (5 * 9 + 3x * 9) 15 + -19x = (45 + 27x) Solving 15 + -19x = 45 + 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 + -19x + -27x = 45 + 27x + -27x Combine like terms: -19x + -27x = -46x 15 + -46x = 45 + 27x + -27x Combine like terms: 27x + -27x = 0 15 + -46x = 45 + 0 15 + -46x = 45 Add '-15' to each side of the equation. 15 + -15 + -46x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + -46x = 45 + -15 -46x = 45 + -15 Combine like terms: 45 + -15 = 30 -46x = 30 Divide each side by '-46'. x = -0.652173913 Simplifying x = -0.652173913
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