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Simplifying 0.05(10000) + 0.08 = 0.077(10000 + x) Multiply 0.05 * 10000 500 + 0.08 = 0.077(10000 + x) Combine like terms: 500 + 0.08 = 500.08 500.08 = 0.077(10000 + x) 500.08 = (10000 * 0.077 + x * 0.077) 500.08 = (770 + 0.077x) Solving 500.08 = 770 + 0.077x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.077x' to each side of the equation. 500.08 + -0.077x = 770 + 0.077x + -0.077x Combine like terms: 0.077x + -0.077x = 0.000 500.08 + -0.077x = 770 + 0.000 500.08 + -0.077x = 770 Add '-500.08' to each side of the equation. 500.08 + -500.08 + -0.077x = 770 + -500.08 Combine like terms: 500.08 + -500.08 = 0.00 0.00 + -0.077x = 770 + -500.08 -0.077x = 770 + -500.08 Combine like terms: 770 + -500.08 = 269.92 -0.077x = 269.92 Divide each side by '-0.077'. x = -3505.454545 Simplifying x = -3505.454545
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