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Simplifying 2(12x + -3) + 2(10x + 15) = 180 Reorder the terms: 2(-3 + 12x) + 2(10x + 15) = 180 (-3 * 2 + 12x * 2) + 2(10x + 15) = 180 (-6 + 24x) + 2(10x + 15) = 180 Reorder the terms: -6 + 24x + 2(15 + 10x) = 180 -6 + 24x + (15 * 2 + 10x * 2) = 180 -6 + 24x + (30 + 20x) = 180 Reorder the terms: -6 + 30 + 24x + 20x = 180 Combine like terms: -6 + 30 = 24 24 + 24x + 20x = 180 Combine like terms: 24x + 20x = 44x 24 + 44x = 180 Solving 24 + 44x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 44x = 180 + -24 Combine like terms: 24 + -24 = 0 0 + 44x = 180 + -24 44x = 180 + -24 Combine like terms: 180 + -24 = 156 44x = 156 Divide each side by '44'. x = 3.545454545 Simplifying x = 3.545454545
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