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