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Simplifying 2(x + 1) + 3(x + 1) = 17 Reorder the terms: 2(1 + x) + 3(x + 1) = 17 (1 * 2 + x * 2) + 3(x + 1) = 17 (2 + 2x) + 3(x + 1) = 17 Reorder the terms: 2 + 2x + 3(1 + x) = 17 2 + 2x + (1 * 3 + x * 3) = 17 2 + 2x + (3 + 3x) = 17 Reorder the terms: 2 + 3 + 2x + 3x = 17 Combine like terms: 2 + 3 = 5 5 + 2x + 3x = 17 Combine like terms: 2x + 3x = 5x 5 + 5x = 17 Solving 5 + 5x = 17 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 + 5x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 17 + -5 5x = 17 + -5 Combine like terms: 17 + -5 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4
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