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Simplifying 3(x + 2) + -1 = 2(x + -1) + 2 Reorder the terms: 3(2 + x) + -1 = 2(x + -1) + 2 (2 * 3 + x * 3) + -1 = 2(x + -1) + 2 (6 + 3x) + -1 = 2(x + -1) + 2 Reorder the terms: 6 + -1 + 3x = 2(x + -1) + 2 Combine like terms: 6 + -1 = 5 5 + 3x = 2(x + -1) + 2 Reorder the terms: 5 + 3x = 2(-1 + x) + 2 5 + 3x = (-1 * 2 + x * 2) + 2 5 + 3x = (-2 + 2x) + 2 Reorder the terms: 5 + 3x = -2 + 2 + 2x Combine like terms: -2 + 2 = 0 5 + 3x = 0 + 2x 5 + 3x = 2x Solving 5 + 3x = 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 = 2x + -2x Combine like terms: 3x + -2x = 1x 5 + 1x = 2x + -2x Combine like terms: 2x + -2x = 0 5 + 1x = 0 Add '-5' to each side of the equation. 5 + -5 + 1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 0 + -5 1x = 0 + -5 Combine like terms: 0 + -5 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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