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Simplifying 3(x + 2) + 5(x + -1) = 17 Reorder the terms: 3(2 + x) + 5(x + -1) = 17 (2 * 3 + x * 3) + 5(x + -1) = 17 (6 + 3x) + 5(x + -1) = 17 Reorder the terms: 6 + 3x + 5(-1 + x) = 17 6 + 3x + (-1 * 5 + x * 5) = 17 6 + 3x + (-5 + 5x) = 17 Reorder the terms: 6 + -5 + 3x + 5x = 17 Combine like terms: 6 + -5 = 1 1 + 3x + 5x = 17 Combine like terms: 3x + 5x = 8x 1 + 8x = 17 Solving 1 + 8x = 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 + 8x = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 17 + -1 8x = 17 + -1 Combine like terms: 17 + -1 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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