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