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Simplifying 15000 = 25x + 50(x + 75) Reorder the terms: 15000 = 25x + 50(75 + x) 15000 = 25x + (75 * 50 + x * 50) 15000 = 25x + (3750 + 50x) Reorder the terms: 15000 = 3750 + 25x + 50x Combine like terms: 25x + 50x = 75x 15000 = 3750 + 75x Solving 15000 = 3750 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 15000 + -75x = 3750 + 75x + -75x Combine like terms: 75x + -75x = 0 15000 + -75x = 3750 + 0 15000 + -75x = 3750 Add '-15000' to each side of the equation. 15000 + -15000 + -75x = 3750 + -15000 Combine like terms: 15000 + -15000 = 0 0 + -75x = 3750 + -15000 -75x = 3750 + -15000 Combine like terms: 3750 + -15000 = -11250 -75x = -11250 Divide each side by '-75'. x = 150 Simplifying x = 150
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