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