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Simplifying 5(9x + 2) + 8(3 + 4x) = 0 Reorder the terms: 5(2 + 9x) + 8(3 + 4x) = 0 (2 * 5 + 9x * 5) + 8(3 + 4x) = 0 (10 + 45x) + 8(3 + 4x) = 0 10 + 45x + (3 * 8 + 4x * 8) = 0 10 + 45x + (24 + 32x) = 0 Reorder the terms: 10 + 24 + 45x + 32x = 0 Combine like terms: 10 + 24 = 34 34 + 45x + 32x = 0 Combine like terms: 45x + 32x = 77x 34 + 77x = 0 Solving 34 + 77x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 77x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 77x = 0 + -34 77x = 0 + -34 Combine like terms: 0 + -34 = -34 77x = -34 Divide each side by '77'. x = -0.4415584416 Simplifying x = -0.4415584416
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