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Simplifying 3(x + 1) + 2 = 5 + 2(x + -1) Reorder the terms: 3(1 + x) + 2 = 5 + 2(x + -1) (1 * 3 + x * 3) + 2 = 5 + 2(x + -1) (3 + 3x) + 2 = 5 + 2(x + -1) Reorder the terms: 3 + 2 + 3x = 5 + 2(x + -1) Combine like terms: 3 + 2 = 5 5 + 3x = 5 + 2(x + -1) Reorder the terms: 5 + 3x = 5 + 2(-1 + x) 5 + 3x = 5 + (-1 * 2 + x * 2) 5 + 3x = 5 + (-2 + 2x) Combine like terms: 5 + -2 = 3 5 + 3x = 3 + 2x Solving 5 + 3x = 3 + 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. 5 + 3x + -2x = 3 + 2x + -2x Combine like terms: 3x + -2x = 1x 5 + 1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 1x = 3 + 0 5 + 1x = 3 Add '-5' to each side of the equation. 5 + -5 + 1x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 3 + -5 1x = 3 + -5 Combine like terms: 3 + -5 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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