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