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Simplifying x + -1(2 + -1x) = 3(x + 1) + 1 x + (2 * -1 + -1x * -1) = 3(x + 1) + 1 x + (-2 + 1x) = 3(x + 1) + 1 Reorder the terms: -2 + x + 1x = 3(x + 1) + 1 Combine like terms: x + 1x = 2x -2 + 2x = 3(x + 1) + 1 Reorder the terms: -2 + 2x = 3(1 + x) + 1 -2 + 2x = (1 * 3 + x * 3) + 1 -2 + 2x = (3 + 3x) + 1 Reorder the terms: -2 + 2x = 3 + 1 + 3x Combine like terms: 3 + 1 = 4 -2 + 2x = 4 + 3x Solving -2 + 2x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 2x + -3x = 4 + 3x + -3x Combine like terms: 2x + -3x = -1x -2 + -1x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -1x = 4 + 0 -2 + -1x = 4 Add '2' to each side of the equation. -2 + 2 + -1x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 4 + 2 -1x = 4 + 2 Combine like terms: 4 + 2 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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