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Simplifying 75.00 + 0.10x = 200.00 + 0.05x Solving 75.00 + 0.10x = 200.00 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 75.00 + 0.10x + -0.05x = 200.00 + 0.05x + -0.05x Combine like terms: 0.10x + -0.05x = 0.05x 75.00 + 0.05x = 200.00 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 75.00 + 0.05x = 200.00 + 0.00 75.00 + 0.05x = 200.00 Add '-75.00' to each side of the equation. 75.00 + -75.00 + 0.05x = 200.00 + -75.00 Combine like terms: 75.00 + -75.00 = 0.00 0.00 + 0.05x = 200.00 + -75.00 0.05x = 200.00 + -75.00 Combine like terms: 200.00 + -75.00 = 125 0.05x = 125 Divide each side by '0.05'. x = 2500 Simplifying x = 2500
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