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Simplifying 3(x + 1) + 2(x + 2) = 17 Reorder the terms: 3(1 + x) + 2(x + 2) = 17 (1 * 3 + x * 3) + 2(x + 2) = 17 (3 + 3x) + 2(x + 2) = 17 Reorder the terms: 3 + 3x + 2(2 + x) = 17 3 + 3x + (2 * 2 + x * 2) = 17 3 + 3x + (4 + 2x) = 17 Reorder the terms: 3 + 4 + 3x + 2x = 17 Combine like terms: 3 + 4 = 7 7 + 3x + 2x = 17 Combine like terms: 3x + 2x = 5x 7 + 5x = 17 Solving 7 + 5x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 17 + -7 5x = 17 + -7 Combine like terms: 17 + -7 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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