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Simplifying 3(x + -2) + 2(2 + -1x) = 0 Reorder the terms: 3(-2 + x) + 2(2 + -1x) = 0 (-2 * 3 + x * 3) + 2(2 + -1x) = 0 (-6 + 3x) + 2(2 + -1x) = 0 -6 + 3x + (2 * 2 + -1x * 2) = 0 -6 + 3x + (4 + -2x) = 0 Reorder the terms: -6 + 4 + 3x + -2x = 0 Combine like terms: -6 + 4 = -2 -2 + 3x + -2x = 0 Combine like terms: 3x + -2x = 1x -2 + 1x = 0 Solving -2 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 0 + 2 1x = 0 + 2 Combine like terms: 0 + 2 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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