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Simplifying 0.2(10000) + -0.05x = 0.05(x + 10000) Multiply 0.2 * 10000 2000 + -0.05x = 0.05(x + 10000) Reorder the terms: 2000 + -0.05x = 0.05(10000 + x) 2000 + -0.05x = (10000 * 0.05 + x * 0.05) 2000 + -0.05x = (500 + 0.05x) Solving 2000 + -0.05x = 500 + 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. 2000 + -0.05x + -0.05x = 500 + 0.05x + -0.05x Combine like terms: -0.05x + -0.05x = -0.1x 2000 + -0.1x = 500 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 2000 + -0.1x = 500 + 0.00 2000 + -0.1x = 500 Add '-2000' to each side of the equation. 2000 + -2000 + -0.1x = 500 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -0.1x = 500 + -2000 -0.1x = 500 + -2000 Combine like terms: 500 + -2000 = -1500 -0.1x = -1500 Divide each side by '-0.1'. x = 15000 Simplifying x = 15000
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