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Simplifying 3(x + 2) + 2(x + 1) = 23 Reorder the terms: 3(2 + x) + 2(x + 1) = 23 (2 * 3 + x * 3) + 2(x + 1) = 23 (6 + 3x) + 2(x + 1) = 23 Reorder the terms: 6 + 3x + 2(1 + x) = 23 6 + 3x + (1 * 2 + x * 2) = 23 6 + 3x + (2 + 2x) = 23 Reorder the terms: 6 + 2 + 3x + 2x = 23 Combine like terms: 6 + 2 = 8 8 + 3x + 2x = 23 Combine like terms: 3x + 2x = 5x 8 + 5x = 23 Solving 8 + 5x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 23 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 23 + -8 5x = 23 + -8 Combine like terms: 23 + -8 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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