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Simplifying 32.50x + 7.25 = 17.50x + 52.25 Reorder the terms: 7.25 + 32.50x = 17.50x + 52.25 Reorder the terms: 7.25 + 32.50x = 52.25 + 17.50x Solving 7.25 + 32.50x = 52.25 + 17.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17.50x' to each side of the equation. 7.25 + 32.50x + -17.50x = 52.25 + 17.50x + -17.50x Combine like terms: 32.50x + -17.50x = 15x 7.25 + 15x = 52.25 + 17.50x + -17.50x Combine like terms: 17.50x + -17.50x = 0.00 7.25 + 15x = 52.25 + 0.00 7.25 + 15x = 52.25 Add '-7.25' to each side of the equation. 7.25 + -7.25 + 15x = 52.25 + -7.25 Combine like terms: 7.25 + -7.25 = 0.00 0.00 + 15x = 52.25 + -7.25 15x = 52.25 + -7.25 Combine like terms: 52.25 + -7.25 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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