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Simplifying 2(x + 2) + -1(x + 1) = 8 Reorder the terms: 2(2 + x) + -1(x + 1) = 8 (2 * 2 + x * 2) + -1(x + 1) = 8 (4 + 2x) + -1(x + 1) = 8 Reorder the terms: 4 + 2x + -1(1 + x) = 8 4 + 2x + (1 * -1 + x * -1) = 8 4 + 2x + (-1 + -1x) = 8 Reorder the terms: 4 + -1 + 2x + -1x = 8 Combine like terms: 4 + -1 = 3 3 + 2x + -1x = 8 Combine like terms: 2x + -1x = 1x 3 + 1x = 8 Solving 3 + 1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 8 + -3 1x = 8 + -3 Combine like terms: 8 + -3 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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