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Simplifying 14 + -1(x + 5) = 3(x + 9) * 10 Reorder the terms: 14 + -1(5 + x) = 3(x + 9) * 10 14 + (5 * -1 + x * -1) = 3(x + 9) * 10 14 + (-5 + -1x) = 3(x + 9) * 10 Combine like terms: 14 + -5 = 9 9 + -1x = 3(x + 9) * 10 Reorder the terms: 9 + -1x = 3(9 + x) * 10 Reorder the terms for easier multiplication: 9 + -1x = 3 * 10(9 + x) Multiply 3 * 10 9 + -1x = 30(9 + x) 9 + -1x = (9 * 30 + x * 30) 9 + -1x = (270 + 30x) Solving 9 + -1x = 270 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 9 + -1x + -30x = 270 + 30x + -30x Combine like terms: -1x + -30x = -31x 9 + -31x = 270 + 30x + -30x Combine like terms: 30x + -30x = 0 9 + -31x = 270 + 0 9 + -31x = 270 Add '-9' to each side of the equation. 9 + -9 + -31x = 270 + -9 Combine like terms: 9 + -9 = 0 0 + -31x = 270 + -9 -31x = 270 + -9 Combine like terms: 270 + -9 = 261 -31x = 261 Divide each side by '-31'. x = -8.419354839 Simplifying x = -8.419354839
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