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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 = 8 8 + 3x + -2x = 12 Combine like terms: 3x + -2x = 1x 8 + 1x = 12 Solving 8 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 12 + -8 1x = 12 + -8 Combine like terms: 12 + -8 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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