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Simplifying 2(x + 1) + -2(1 + -1x) = 2x + 4 Reorder the terms: 2(1 + x) + -2(1 + -1x) = 2x + 4 (1 * 2 + x * 2) + -2(1 + -1x) = 2x + 4 (2 + 2x) + -2(1 + -1x) = 2x + 4 2 + 2x + (1 * -2 + -1x * -2) = 2x + 4 2 + 2x + (-2 + 2x) = 2x + 4 Reorder the terms: 2 + -2 + 2x + 2x = 2x + 4 Combine like terms: 2 + -2 = 0 0 + 2x + 2x = 2x + 4 2x + 2x = 2x + 4 Combine like terms: 2x + 2x = 4x 4x = 2x + 4 Reorder the terms: 4x = 4 + 2x Solving 4x = 4 + 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. 4x + -2x = 4 + 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 2x = 4 + 0 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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