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Simplifying 3(x + -1) + -2x = -2 + 3(x + -1) Reorder the terms: 3(-1 + x) + -2x = -2 + 3(x + -1) (-1 * 3 + x * 3) + -2x = -2 + 3(x + -1) (-3 + 3x) + -2x = -2 + 3(x + -1) Combine like terms: 3x + -2x = 1x -3 + 1x = -2 + 3(x + -1) Reorder the terms: -3 + 1x = -2 + 3(-1 + x) -3 + 1x = -2 + (-1 * 3 + x * 3) -3 + 1x = -2 + (-3 + 3x) Combine like terms: -2 + -3 = -5 -3 + 1x = -5 + 3x Solving -3 + 1x = -5 + 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. -3 + 1x + -3x = -5 + 3x + -3x Combine like terms: 1x + -3x = -2x -3 + -2x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -2x = -5 + 0 -3 + -2x = -5 Add '3' to each side of the equation. -3 + 3 + -2x = -5 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -5 + 3 -2x = -5 + 3 Combine like terms: -5 + 3 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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