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Simplifying 8(2x + 9) = 20 + -1(x + -8) Reorder the terms: 8(9 + 2x) = 20 + -1(x + -8) (9 * 8 + 2x * 8) = 20 + -1(x + -8) (72 + 16x) = 20 + -1(x + -8) Reorder the terms: 72 + 16x = 20 + -1(-8 + x) 72 + 16x = 20 + (-8 * -1 + x * -1) 72 + 16x = 20 + (8 + -1x) Combine like terms: 20 + 8 = 28 72 + 16x = 28 + -1x Solving 72 + 16x = 28 + -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 + 16x + x = 28 + -1x + x Combine like terms: 16x + x = 17x 72 + 17x = 28 + -1x + x Combine like terms: -1x + x = 0 72 + 17x = 28 + 0 72 + 17x = 28 Add '-72' to each side of the equation. 72 + -72 + 17x = 28 + -72 Combine like terms: 72 + -72 = 0 0 + 17x = 28 + -72 17x = 28 + -72 Combine like terms: 28 + -72 = -44 17x = -44 Divide each side by '17'. x = -2.588235294 Simplifying x = -2.588235294
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