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Simplifying 2(x + 8) + -1(x + 1) = 20 Reorder the terms: 2(8 + x) + -1(x + 1) = 20 (8 * 2 + x * 2) + -1(x + 1) = 20 (16 + 2x) + -1(x + 1) = 20 Reorder the terms: 16 + 2x + -1(1 + x) = 20 16 + 2x + (1 * -1 + x * -1) = 20 16 + 2x + (-1 + -1x) = 20 Reorder the terms: 16 + -1 + 2x + -1x = 20 Combine like terms: 16 + -1 = 15 15 + 2x + -1x = 20 Combine like terms: 2x + -1x = 1x 15 + 1x = 20 Solving 15 + 1x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 1x = 20 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 20 + -15 1x = 20 + -15 Combine like terms: 20 + -15 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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