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Simplifying 2(x + 3) + 3(x + -1) = 23 Reorder the terms: 2(3 + x) + 3(x + -1) = 23 (3 * 2 + x * 2) + 3(x + -1) = 23 (6 + 2x) + 3(x + -1) = 23 Reorder the terms: 6 + 2x + 3(-1 + x) = 23 6 + 2x + (-1 * 3 + x * 3) = 23 6 + 2x + (-3 + 3x) = 23 Reorder the terms: 6 + -3 + 2x + 3x = 23 Combine like terms: 6 + -3 = 3 3 + 2x + 3x = 23 Combine like terms: 2x + 3x = 5x 3 + 5x = 23 Solving 3 + 5x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 23 + -3 5x = 23 + -3 Combine like terms: 23 + -3 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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