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Simplifying 5(4x + 5) + 6(3x + 5) = 50 Reorder the terms: 5(5 + 4x) + 6(3x + 5) = 50 (5 * 5 + 4x * 5) + 6(3x + 5) = 50 (25 + 20x) + 6(3x + 5) = 50 Reorder the terms: 25 + 20x + 6(5 + 3x) = 50 25 + 20x + (5 * 6 + 3x * 6) = 50 25 + 20x + (30 + 18x) = 50 Reorder the terms: 25 + 30 + 20x + 18x = 50 Combine like terms: 25 + 30 = 55 55 + 20x + 18x = 50 Combine like terms: 20x + 18x = 38x 55 + 38x = 50 Solving 55 + 38x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 38x = 50 + -55 Combine like terms: 55 + -55 = 0 0 + 38x = 50 + -55 38x = 50 + -55 Combine like terms: 50 + -55 = -5 38x = -5 Divide each side by '38'. x = -0.1315789474 Simplifying x = -0.1315789474
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