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Simplifying -1(3x + 2) + (x + -1) = -1(2x + -2) + -1(2x + -1) Reorder the terms: -1(2 + 3x) + (x + -1) = -1(2x + -2) + -1(2x + -1) (2 * -1 + 3x * -1) + (x + -1) = -1(2x + -2) + -1(2x + -1) (-2 + -3x) + (x + -1) = -1(2x + -2) + -1(2x + -1) Reorder the terms: -2 + -3x + (-1 + x) = -1(2x + -2) + -1(2x + -1) Remove parenthesis around (-1 + x) -2 + -3x + -1 + x = -1(2x + -2) + -1(2x + -1) Reorder the terms: -2 + -1 + -3x + x = -1(2x + -2) + -1(2x + -1) Combine like terms: -2 + -1 = -3 -3 + -3x + x = -1(2x + -2) + -1(2x + -1) Combine like terms: -3x + x = -2x -3 + -2x = -1(2x + -2) + -1(2x + -1) Reorder the terms: -3 + -2x = -1(-2 + 2x) + -1(2x + -1) -3 + -2x = (-2 * -1 + 2x * -1) + -1(2x + -1) -3 + -2x = (2 + -2x) + -1(2x + -1) Reorder the terms: -3 + -2x = 2 + -2x + -1(-1 + 2x) -3 + -2x = 2 + -2x + (-1 * -1 + 2x * -1) -3 + -2x = 2 + -2x + (1 + -2x) Reorder the terms: -3 + -2x = 2 + 1 + -2x + -2x Combine like terms: 2 + 1 = 3 -3 + -2x = 3 + -2x + -2x Combine like terms: -2x + -2x = -4x -3 + -2x = 3 + -4x Solving -3 + -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. -3 + -2x + 4x = 3 + -4x + 4x Combine like terms: -2x + 4x = 2x -3 + 2x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 2x = 3 + 0 -3 + 2x = 3 Add '3' to each side of the equation. -3 + 3 + 2x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 3 + 3 2x = 3 + 3 Combine like terms: 3 + 3 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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