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Simplifying 2(x + -2) = 3(2 + -1x) Reorder the terms: 2(-2 + x) = 3(2 + -1x) (-2 * 2 + x * 2) = 3(2 + -1x) (-4 + 2x) = 3(2 + -1x) -4 + 2x = (2 * 3 + -1x * 3) -4 + 2x = (6 + -3x) Solving -4 + 2x = 6 + -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. -4 + 2x + 3x = 6 + -3x + 3x Combine like terms: 2x + 3x = 5x -4 + 5x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 5x = 6 + 0 -4 + 5x = 6 Add '4' to each side of the equation. -4 + 4 + 5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 6 + 4 5x = 6 + 4 Combine like terms: 6 + 4 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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