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