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Simplifying 0.02(10000) + 0.06x = 0.056(10000 + x) Multiply 0.02 * 10000 200 + 0.06x = 0.056(10000 + x) 200 + 0.06x = (10000 * 0.056 + x * 0.056) 200 + 0.06x = (560 + 0.056x) Solving 200 + 0.06x = 560 + 0.056x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.056x' to each side of the equation. 200 + 0.06x + -0.056x = 560 + 0.056x + -0.056x Combine like terms: 0.06x + -0.056x = 0.004x 200 + 0.004x = 560 + 0.056x + -0.056x Combine like terms: 0.056x + -0.056x = 0.000 200 + 0.004x = 560 + 0.000 200 + 0.004x = 560 Add '-200' to each side of the equation. 200 + -200 + 0.004x = 560 + -200 Combine like terms: 200 + -200 = 0 0 + 0.004x = 560 + -200 0.004x = 560 + -200 Combine like terms: 560 + -200 = 360 0.004x = 360 Divide each side by '0.004'. x = 90000 Simplifying x = 90000
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