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