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Simplifying 7(x + 6) + -9(9x + -5) = 15 Reorder the terms: 7(6 + x) + -9(9x + -5) = 15 (6 * 7 + x * 7) + -9(9x + -5) = 15 (42 + 7x) + -9(9x + -5) = 15 Reorder the terms: 42 + 7x + -9(-5 + 9x) = 15 42 + 7x + (-5 * -9 + 9x * -9) = 15 42 + 7x + (45 + -81x) = 15 Reorder the terms: 42 + 45 + 7x + -81x = 15 Combine like terms: 42 + 45 = 87 87 + 7x + -81x = 15 Combine like terms: 7x + -81x = -74x 87 + -74x = 15 Solving 87 + -74x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-87' to each side of the equation. 87 + -87 + -74x = 15 + -87 Combine like terms: 87 + -87 = 0 0 + -74x = 15 + -87 -74x = 15 + -87 Combine like terms: 15 + -87 = -72 -74x = -72 Divide each side by '-74'. x = 0.972972973 Simplifying x = 0.972972973
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