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Simplifying 0.05(10000) + 0.08x = 0.077(10000 + x) Multiply 0.05 * 10000 500 + 0.08x = 0.077(10000 + x) 500 + 0.08x = (10000 * 0.077 + x * 0.077) 500 + 0.08x = (770 + 0.077x) Solving 500 + 0.08x = 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 + 0.08x + -0.077x = 770 + 0.077x + -0.077x Combine like terms: 0.08x + -0.077x = 0.003x 500 + 0.003x = 770 + 0.077x + -0.077x Combine like terms: 0.077x + -0.077x = 0.000 500 + 0.003x = 770 + 0.000 500 + 0.003x = 770 Add '-500' to each side of the equation. 500 + -500 + 0.003x = 770 + -500 Combine like terms: 500 + -500 = 0 0 + 0.003x = 770 + -500 0.003x = 770 + -500 Combine like terms: 770 + -500 = 270 0.003x = 270 Divide each side by '0.003'. x = 90000 Simplifying x = 90000
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