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Simplifying 3(2x + -2) + 2(1 + -1x) = 12 Reorder the terms: 3(-2 + 2x) + 2(1 + -1x) = 12 (-2 * 3 + 2x * 3) + 2(1 + -1x) = 12 (-6 + 6x) + 2(1 + -1x) = 12 -6 + 6x + (1 * 2 + -1x * 2) = 12 -6 + 6x + (2 + -2x) = 12 Reorder the terms: -6 + 2 + 6x + -2x = 12 Combine like terms: -6 + 2 = -4 -4 + 6x + -2x = 12 Combine like terms: 6x + -2x = 4x -4 + 4x = 12 Solving -4 + 4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 12 + 4 4x = 12 + 4 Combine like terms: 12 + 4 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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