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Simplifying 7(18 + -1x) + -6(3 + -5x) = (7x + 9) + -3(2x + 5) + -12 (18 * 7 + -1x * 7) + -6(3 + -5x) = (7x + 9) + -3(2x + 5) + -12 (126 + -7x) + -6(3 + -5x) = (7x + 9) + -3(2x + 5) + -12 126 + -7x + (3 * -6 + -5x * -6) = (7x + 9) + -3(2x + 5) + -12 126 + -7x + (-18 + 30x) = (7x + 9) + -3(2x + 5) + -12 Reorder the terms: 126 + -18 + -7x + 30x = (7x + 9) + -3(2x + 5) + -12 Combine like terms: 126 + -18 = 108 108 + -7x + 30x = (7x + 9) + -3(2x + 5) + -12 Combine like terms: -7x + 30x = 23x 108 + 23x = (7x + 9) + -3(2x + 5) + -12 Reorder the terms: 108 + 23x = (9 + 7x) + -3(2x + 5) + -12 Remove parenthesis around (9 + 7x) 108 + 23x = 9 + 7x + -3(2x + 5) + -12 Reorder the terms: 108 + 23x = 9 + 7x + -3(5 + 2x) + -12 108 + 23x = 9 + 7x + (5 * -3 + 2x * -3) + -12 108 + 23x = 9 + 7x + (-15 + -6x) + -12 Reorder the terms: 108 + 23x = 9 + -15 + -12 + 7x + -6x Combine like terms: 9 + -15 = -6 108 + 23x = -6 + -12 + 7x + -6x Combine like terms: -6 + -12 = -18 108 + 23x = -18 + 7x + -6x Combine like terms: 7x + -6x = 1x 108 + 23x = -18 + 1x Solving 108 + 23x = -18 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 108 + 23x + -1x = -18 + 1x + -1x Combine like terms: 23x + -1x = 22x 108 + 22x = -18 + 1x + -1x Combine like terms: 1x + -1x = 0 108 + 22x = -18 + 0 108 + 22x = -18 Add '-108' to each side of the equation. 108 + -108 + 22x = -18 + -108 Combine like terms: 108 + -108 = 0 0 + 22x = -18 + -108 22x = -18 + -108 Combine like terms: -18 + -108 = -126 22x = -126 Divide each side by '22'. x = -5.727272727 Simplifying x = -5.727272727
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