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Simplifying 12(6 + 15x) + -4(3 + -14x) = 532 (6 * 12 + 15x * 12) + -4(3 + -14x) = 532 (72 + 180x) + -4(3 + -14x) = 532 72 + 180x + (3 * -4 + -14x * -4) = 532 72 + 180x + (-12 + 56x) = 532 Reorder the terms: 72 + -12 + 180x + 56x = 532 Combine like terms: 72 + -12 = 60 60 + 180x + 56x = 532 Combine like terms: 180x + 56x = 236x 60 + 236x = 532 Solving 60 + 236x = 532 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 236x = 532 + -60 Combine like terms: 60 + -60 = 0 0 + 236x = 532 + -60 236x = 532 + -60 Combine like terms: 532 + -60 = 472 236x = 472 Divide each side by '236'. x = 2 Simplifying x = 2
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