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Simplifying 3(x + 1) + -1(x + 2) = 17 Reorder the terms: 3(1 + x) + -1(x + 2) = 17 (1 * 3 + x * 3) + -1(x + 2) = 17 (3 + 3x) + -1(x + 2) = 17 Reorder the terms: 3 + 3x + -1(2 + x) = 17 3 + 3x + (2 * -1 + x * -1) = 17 3 + 3x + (-2 + -1x) = 17 Reorder the terms: 3 + -2 + 3x + -1x = 17 Combine like terms: 3 + -2 = 1 1 + 3x + -1x = 17 Combine like terms: 3x + -1x = 2x 1 + 2x = 17 Solving 1 + 2x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 17 + -1 2x = 17 + -1 Combine like terms: 17 + -1 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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