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Simplifying 20 + -1(x + 5) = 9(2x + 8) Reorder the terms: 20 + -1(5 + x) = 9(2x + 8) 20 + (5 * -1 + x * -1) = 9(2x + 8) 20 + (-5 + -1x) = 9(2x + 8) Combine like terms: 20 + -5 = 15 15 + -1x = 9(2x + 8) Reorder the terms: 15 + -1x = 9(8 + 2x) 15 + -1x = (8 * 9 + 2x * 9) 15 + -1x = (72 + 18x) Solving 15 + -1x = 72 + 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. 15 + -1x + -18x = 72 + 18x + -18x Combine like terms: -1x + -18x = -19x 15 + -19x = 72 + 18x + -18x Combine like terms: 18x + -18x = 0 15 + -19x = 72 + 0 15 + -19x = 72 Add '-15' to each side of the equation. 15 + -15 + -19x = 72 + -15 Combine like terms: 15 + -15 = 0 0 + -19x = 72 + -15 -19x = 72 + -15 Combine like terms: 72 + -15 = 57 -19x = 57 Divide each side by '-19'. x = -3 Simplifying x = -3
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