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Simplifying 3(x + 2) + -1(x + 1) = 8 Reorder the terms: 3(2 + x) + -1(x + 1) = 8 (2 * 3 + x * 3) + -1(x + 1) = 8 (6 + 3x) + -1(x + 1) = 8 Reorder the terms: 6 + 3x + -1(1 + x) = 8 6 + 3x + (1 * -1 + x * -1) = 8 6 + 3x + (-1 + -1x) = 8 Reorder the terms: 6 + -1 + 3x + -1x = 8 Combine like terms: 6 + -1 = 5 5 + 3x + -1x = 8 Combine like terms: 3x + -1x = 2x 5 + 2x = 8 Solving 5 + 2x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 8 + -5 2x = 8 + -5 Combine like terms: 8 + -5 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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