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Simplifying 45x + 30(500 + -1x) = 17500 45x + (500 * 30 + -1x * 30) = 17500 45x + (15000 + -30x) = 17500 Reorder the terms: 15000 + 45x + -30x = 17500 Combine like terms: 45x + -30x = 15x 15000 + 15x = 17500 Solving 15000 + 15x = 17500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15000' to each side of the equation. 15000 + -15000 + 15x = 17500 + -15000 Combine like terms: 15000 + -15000 = 0 0 + 15x = 17500 + -15000 15x = 17500 + -15000 Combine like terms: 17500 + -15000 = 2500 15x = 2500 Divide each side by '15'. x = 166.6666667 Simplifying x = 166.6666667
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