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Simplifying 5(x + 3) + -9(7x + -9) = 14 Reorder the terms: 5(3 + x) + -9(7x + -9) = 14 (3 * 5 + x * 5) + -9(7x + -9) = 14 (15 + 5x) + -9(7x + -9) = 14 Reorder the terms: 15 + 5x + -9(-9 + 7x) = 14 15 + 5x + (-9 * -9 + 7x * -9) = 14 15 + 5x + (81 + -63x) = 14 Reorder the terms: 15 + 81 + 5x + -63x = 14 Combine like terms: 15 + 81 = 96 96 + 5x + -63x = 14 Combine like terms: 5x + -63x = -58x 96 + -58x = 14 Solving 96 + -58x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -58x = 14 + -96 Combine like terms: 96 + -96 = 0 0 + -58x = 14 + -96 -58x = 14 + -96 Combine like terms: 14 + -96 = -82 -58x = -82 Divide each side by '-58'. x = 1.413793103 Simplifying x = 1.413793103
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