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Simplifying 9 + -3(2x + -8) + 2(4 + -5x) = 20 + -1(5 + 2x) Reorder the terms: 9 + -3(-8 + 2x) + 2(4 + -5x) = 20 + -1(5 + 2x) 9 + (-8 * -3 + 2x * -3) + 2(4 + -5x) = 20 + -1(5 + 2x) 9 + (24 + -6x) + 2(4 + -5x) = 20 + -1(5 + 2x) 9 + 24 + -6x + (4 * 2 + -5x * 2) = 20 + -1(5 + 2x) 9 + 24 + -6x + (8 + -10x) = 20 + -1(5 + 2x) Reorder the terms: 9 + 24 + 8 + -6x + -10x = 20 + -1(5 + 2x) Combine like terms: 9 + 24 = 33 33 + 8 + -6x + -10x = 20 + -1(5 + 2x) Combine like terms: 33 + 8 = 41 41 + -6x + -10x = 20 + -1(5 + 2x) Combine like terms: -6x + -10x = -16x 41 + -16x = 20 + -1(5 + 2x) 41 + -16x = 20 + (5 * -1 + 2x * -1) 41 + -16x = 20 + (-5 + -2x) Combine like terms: 20 + -5 = 15 41 + -16x = 15 + -2x Solving 41 + -16x = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 41 + -16x + 2x = 15 + -2x + 2x Combine like terms: -16x + 2x = -14x 41 + -14x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 41 + -14x = 15 + 0 41 + -14x = 15 Add '-41' to each side of the equation. 41 + -41 + -14x = 15 + -41 Combine like terms: 41 + -41 = 0 0 + -14x = 15 + -41 -14x = 15 + -41 Combine like terms: 15 + -41 = -26 -14x = -26 Divide each side by '-14'. x = 1.857142857 Simplifying x = 1.857142857
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