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Simplifying 3(x + 4) + -2(x + 5) = 12 Reorder the terms: 3(4 + x) + -2(x + 5) = 12 (4 * 3 + x * 3) + -2(x + 5) = 12 (12 + 3x) + -2(x + 5) = 12 Reorder the terms: 12 + 3x + -2(5 + x) = 12 12 + 3x + (5 * -2 + x * -2) = 12 12 + 3x + (-10 + -2x) = 12 Reorder the terms: 12 + -10 + 3x + -2x = 12 Combine like terms: 12 + -10 = 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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