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Simplifying 0.05(10000) + 0.06x = 0.055(10000 + x) Multiply 0.05 * 10000 500 + 0.06x = 0.055(10000 + x) 500 + 0.06x = (10000 * 0.055 + x * 0.055) 500 + 0.06x = (550 + 0.055x) Solving 500 + 0.06x = 550 + 0.055x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.055x' to each side of the equation. 500 + 0.06x + -0.055x = 550 + 0.055x + -0.055x Combine like terms: 0.06x + -0.055x = 0.005x 500 + 0.005x = 550 + 0.055x + -0.055x Combine like terms: 0.055x + -0.055x = 0.000 500 + 0.005x = 550 + 0.000 500 + 0.005x = 550 Add '-500' to each side of the equation. 500 + -500 + 0.005x = 550 + -500 Combine like terms: 500 + -500 = 0 0 + 0.005x = 550 + -500 0.005x = 550 + -500 Combine like terms: 550 + -500 = 50 0.005x = 50 Divide each side by '0.005'. x = 10000 Simplifying x = 10000
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