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Simplifying 3(x + 2) + -1(2 + -1x) = 12 Reorder the terms: 3(2 + x) + -1(2 + -1x) = 12 (2 * 3 + x * 3) + -1(2 + -1x) = 12 (6 + 3x) + -1(2 + -1x) = 12 6 + 3x + (2 * -1 + -1x * -1) = 12 6 + 3x + (-2 + 1x) = 12 Reorder the terms: 6 + -2 + 3x + 1x = 12 Combine like terms: 6 + -2 = 4 4 + 3x + 1x = 12 Combine like terms: 3x + 1x = 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 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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