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Simplifying 7(18 + -1x) + -6(3 + -5x) = -1(7x + 9) + -3(2x + 5) + 24 (18 * 7 + -1x * 7) + -6(3 + -5x) = -1(7x + 9) + -3(2x + 5) + 24 (126 + -7x) + -6(3 + -5x) = -1(7x + 9) + -3(2x + 5) + 24 126 + -7x + (3 * -6 + -5x * -6) = -1(7x + 9) + -3(2x + 5) + 24 126 + -7x + (-18 + 30x) = -1(7x + 9) + -3(2x + 5) + 24 Reorder the terms: 126 + -18 + -7x + 30x = -1(7x + 9) + -3(2x + 5) + 24 Combine like terms: 126 + -18 = 108 108 + -7x + 30x = -1(7x + 9) + -3(2x + 5) + 24 Combine like terms: -7x + 30x = 23x 108 + 23x = -1(7x + 9) + -3(2x + 5) + 24 Reorder the terms: 108 + 23x = -1(9 + 7x) + -3(2x + 5) + 24 108 + 23x = (9 * -1 + 7x * -1) + -3(2x + 5) + 24 108 + 23x = (-9 + -7x) + -3(2x + 5) + 24 Reorder the terms: 108 + 23x = -9 + -7x + -3(5 + 2x) + 24 108 + 23x = -9 + -7x + (5 * -3 + 2x * -3) + 24 108 + 23x = -9 + -7x + (-15 + -6x) + 24 Reorder the terms: 108 + 23x = -9 + -15 + 24 + -7x + -6x Combine like terms: -9 + -15 = -24 108 + 23x = -24 + 24 + -7x + -6x Combine like terms: -24 + 24 = 0 108 + 23x = 0 + -7x + -6x 108 + 23x = -7x + -6x Combine like terms: -7x + -6x = -13x 108 + 23x = -13x Solving 108 + 23x = -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 108 + 23x + 13x = -13x + 13x Combine like terms: 23x + 13x = 36x 108 + 36x = -13x + 13x Combine like terms: -13x + 13x = 0 108 + 36x = 0 Add '-108' to each side of the equation. 108 + -108 + 36x = 0 + -108 Combine like terms: 108 + -108 = 0 0 + 36x = 0 + -108 36x = 0 + -108 Combine like terms: 0 + -108 = -108 36x = -108 Divide each side by '36'. x = -3 Simplifying x = -3
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