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Simplifying 6(12 + -12x) + 7(2 + 15x) = 185 (12 * 6 + -12x * 6) + 7(2 + 15x) = 185 (72 + -72x) + 7(2 + 15x) = 185 72 + -72x + (2 * 7 + 15x * 7) = 185 72 + -72x + (14 + 105x) = 185 Reorder the terms: 72 + 14 + -72x + 105x = 185 Combine like terms: 72 + 14 = 86 86 + -72x + 105x = 185 Combine like terms: -72x + 105x = 33x 86 + 33x = 185 Solving 86 + 33x = 185 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-86' to each side of the equation. 86 + -86 + 33x = 185 + -86 Combine like terms: 86 + -86 = 0 0 + 33x = 185 + -86 33x = 185 + -86 Combine like terms: 185 + -86 = 99 33x = 99 Divide each side by '33'. x = 3 Simplifying x = 3
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