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