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Simplifying (3x + -2) + -1(x + 1) = (2x + 4) + -1(3x + -2) Reorder the terms: (-2 + 3x) + -1(x + 1) = (2x + 4) + -1(3x + -2) Remove parenthesis around (-2 + 3x) -2 + 3x + -1(x + 1) = (2x + 4) + -1(3x + -2) Reorder the terms: -2 + 3x + -1(1 + x) = (2x + 4) + -1(3x + -2) -2 + 3x + (1 * -1 + x * -1) = (2x + 4) + -1(3x + -2) -2 + 3x + (-1 + -1x) = (2x + 4) + -1(3x + -2) Reorder the terms: -2 + -1 + 3x + -1x = (2x + 4) + -1(3x + -2) Combine like terms: -2 + -1 = -3 -3 + 3x + -1x = (2x + 4) + -1(3x + -2) Combine like terms: 3x + -1x = 2x -3 + 2x = (2x + 4) + -1(3x + -2) Reorder the terms: -3 + 2x = (4 + 2x) + -1(3x + -2) Remove parenthesis around (4 + 2x) -3 + 2x = 4 + 2x + -1(3x + -2) Reorder the terms: -3 + 2x = 4 + 2x + -1(-2 + 3x) -3 + 2x = 4 + 2x + (-2 * -1 + 3x * -1) -3 + 2x = 4 + 2x + (2 + -3x) Reorder the terms: -3 + 2x = 4 + 2 + 2x + -3x Combine like terms: 4 + 2 = 6 -3 + 2x = 6 + 2x + -3x Combine like terms: 2x + -3x = -1x -3 + 2x = 6 + -1x Solving -3 + 2x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + 2x + x = 6 + -1x + x Combine like terms: 2x + x = 3x -3 + 3x = 6 + -1x + x Combine like terms: -1x + x = 0 -3 + 3x = 6 + 0 -3 + 3x = 6 Add '3' to each side of the equation. -3 + 3 + 3x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 6 + 3 3x = 6 + 3 Combine like terms: 6 + 3 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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