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