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Simplifying 11(12 + 4x) + 15(14 + -5x) = 263 (12 * 11 + 4x * 11) + 15(14 + -5x) = 263 (132 + 44x) + 15(14 + -5x) = 263 132 + 44x + (14 * 15 + -5x * 15) = 263 132 + 44x + (210 + -75x) = 263 Reorder the terms: 132 + 210 + 44x + -75x = 263 Combine like terms: 132 + 210 = 342 342 + 44x + -75x = 263 Combine like terms: 44x + -75x = -31x 342 + -31x = 263 Solving 342 + -31x = 263 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-342' to each side of the equation. 342 + -342 + -31x = 263 + -342 Combine like terms: 342 + -342 = 0 0 + -31x = 263 + -342 -31x = 263 + -342 Combine like terms: 263 + -342 = -79 -31x = -79 Divide each side by '-31'. x = 2.548387097 Simplifying x = 2.548387097
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