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Simplifying 75 + 0.1x = 200 + 0.05x Solving 75 + 0.1x = 200 + 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 + 0.1x + -0.05x = 200 + 0.05x + -0.05x Combine like terms: 0.1x + -0.05x = 0.05x 75 + 0.05x = 200 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 75 + 0.05x = 200 + 0.00 75 + 0.05x = 200 Add '-75' to each side of the equation. 75 + -75 + 0.05x = 200 + -75 Combine like terms: 75 + -75 = 0 0 + 0.05x = 200 + -75 0.05x = 200 + -75 Combine like terms: 200 + -75 = 125 0.05x = 125 Divide each side by '0.05'. x = 2500 Simplifying x = 2500
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