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Simplifying 3(x + -1) + -1(2x + -5) = 12 Reorder the terms: 3(-1 + x) + -1(2x + -5) = 12 (-1 * 3 + x * 3) + -1(2x + -5) = 12 (-3 + 3x) + -1(2x + -5) = 12 Reorder the terms: -3 + 3x + -1(-5 + 2x) = 12 -3 + 3x + (-5 * -1 + 2x * -1) = 12 -3 + 3x + (5 + -2x) = 12 Reorder the terms: -3 + 5 + 3x + -2x = 12 Combine like terms: -3 + 5 = 2 2 + 3x + -2x = 12 Combine like terms: 3x + -2x = 1x 2 + 1x = 12 Solving 2 + 1x = 12 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 = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 12 + -2 1x = 12 + -2 Combine like terms: 12 + -2 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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