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Simplifying x + -1(2 + -1x) = 3(x + 1) + x x + (2 * -1 + -1x * -1) = 3(x + 1) + x x + (-2 + 1x) = 3(x + 1) + x Reorder the terms: -2 + x + 1x = 3(x + 1) + x Combine like terms: x + 1x = 2x -2 + 2x = 3(x + 1) + x Reorder the terms: -2 + 2x = 3(1 + x) + x -2 + 2x = (1 * 3 + x * 3) + x -2 + 2x = (3 + 3x) + x Combine like terms: 3x + x = 4x -2 + 2x = 3 + 4x Solving -2 + 2x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 2x + -4x = 3 + 4x + -4x Combine like terms: 2x + -4x = -2x -2 + -2x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -2x = 3 + 0 -2 + -2x = 3 Add '2' to each side of the equation. -2 + 2 + -2x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 3 + 2 -2x = 3 + 2 Combine like terms: 3 + 2 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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