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Simplifying 6(11 + -2x) + -1(5x + 17) = 9(10 + -2x) + 23 (11 * 6 + -2x * 6) + -1(5x + 17) = 9(10 + -2x) + 23 (66 + -12x) + -1(5x + 17) = 9(10 + -2x) + 23 Reorder the terms: 66 + -12x + -1(17 + 5x) = 9(10 + -2x) + 23 66 + -12x + (17 * -1 + 5x * -1) = 9(10 + -2x) + 23 66 + -12x + (-17 + -5x) = 9(10 + -2x) + 23 Reorder the terms: 66 + -17 + -12x + -5x = 9(10 + -2x) + 23 Combine like terms: 66 + -17 = 49 49 + -12x + -5x = 9(10 + -2x) + 23 Combine like terms: -12x + -5x = -17x 49 + -17x = 9(10 + -2x) + 23 49 + -17x = (10 * 9 + -2x * 9) + 23 49 + -17x = (90 + -18x) + 23 Reorder the terms: 49 + -17x = 90 + 23 + -18x Combine like terms: 90 + 23 = 113 49 + -17x = 113 + -18x Solving 49 + -17x = 113 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 49 + -17x + 18x = 113 + -18x + 18x Combine like terms: -17x + 18x = 1x 49 + 1x = 113 + -18x + 18x Combine like terms: -18x + 18x = 0 49 + 1x = 113 + 0 49 + 1x = 113 Add '-49' to each side of the equation. 49 + -49 + 1x = 113 + -49 Combine like terms: 49 + -49 = 0 0 + 1x = 113 + -49 1x = 113 + -49 Combine like terms: 113 + -49 = 64 1x = 64 Divide each side by '1'. x = 64 Simplifying x = 64
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