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Simplifying -1(x + -3) + 2(x + 2) = 12 Reorder the terms: -1(-3 + x) + 2(x + 2) = 12 (-3 * -1 + x * -1) + 2(x + 2) = 12 (3 + -1x) + 2(x + 2) = 12 Reorder the terms: 3 + -1x + 2(2 + x) = 12 3 + -1x + (2 * 2 + x * 2) = 12 3 + -1x + (4 + 2x) = 12 Reorder the terms: 3 + 4 + -1x + 2x = 12 Combine like terms: 3 + 4 = 7 7 + -1x + 2x = 12 Combine like terms: -1x + 2x = 1x 7 + 1x = 12 Solving 7 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 12 + -7 1x = 12 + -7 Combine like terms: 12 + -7 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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