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Simplifying -5(x + -9) + 6(7x + 4) = 5 Reorder the terms: -5(-9 + x) + 6(7x + 4) = 5 (-9 * -5 + x * -5) + 6(7x + 4) = 5 (45 + -5x) + 6(7x + 4) = 5 Reorder the terms: 45 + -5x + 6(4 + 7x) = 5 45 + -5x + (4 * 6 + 7x * 6) = 5 45 + -5x + (24 + 42x) = 5 Reorder the terms: 45 + 24 + -5x + 42x = 5 Combine like terms: 45 + 24 = 69 69 + -5x + 42x = 5 Combine like terms: -5x + 42x = 37x 69 + 37x = 5 Solving 69 + 37x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 37x = 5 + -69 Combine like terms: 69 + -69 = 0 0 + 37x = 5 + -69 37x = 5 + -69 Combine like terms: 5 + -69 = -64 37x = -64 Divide each side by '37'. x = -1.72972973 Simplifying x = -1.72972973
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