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Simplifying 0.05x + 200 = 0.10x + 75 Reorder the terms: 200 + 0.05x = 0.10x + 75 Reorder the terms: 200 + 0.05x = 75 + 0.10x Solving 200 + 0.05x = 75 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 200 + 0.05x + -0.10x = 75 + 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x 200 + -0.05x = 75 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 200 + -0.05x = 75 + 0.00 200 + -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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