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Simplifying 0.05x + 200 = 0.1x + 75 Reorder the terms: 200 + 0.05x = 0.1x + 75 Reorder the terms: 200 + 0.05x = 75 + 0.1x Solving 200 + 0.05x = 75 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 200 + 0.05x + -0.1x = 75 + 0.1x + -0.1x Combine like terms: 0.05x + -0.1x = -0.05x 200 + -0.05x = 75 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 200 + -0.05x = 75 + 0.0 200 + -0.05x = 75 Add '-200' to each side of the equation. 200 + -200 + -0.05x = 75 + -200 Combine like terms: 200 + -200 = 0 0 + -0.05x = 75 + -200 -0.05x = 75 + -200 Combine like terms: 75 + -200 = -125 -0.05x = -125 Divide each side by '-0.05'. x = 2500 Simplifying x = 2500
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