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Simplifying 30x + 45 + 15x + 55 = 500 Reorder the terms: 45 + 55 + 30x + 15x = 500 Combine like terms: 45 + 55 = 100 100 + 30x + 15x = 500 Combine like terms: 30x + 15x = 45x 100 + 45x = 500 Solving 100 + 45x = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 45x = 500 + -100 Combine like terms: 100 + -100 = 0 0 + 45x = 500 + -100 45x = 500 + -100 Combine like terms: 500 + -100 = 400 45x = 400 Divide each side by '45'. x = 8.888888889 Simplifying x = 8.888888889
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