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Simplifying 0.04(10000) + 0.06x = 0.055(10000 + x) Multiply 0.04 * 10000 400 + 0.06x = 0.055(10000 + x) 400 + 0.06x = (10000 * 0.055 + x * 0.055) 400 + 0.06x = (550 + 0.055x) Solving 400 + 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. 400 + 0.06x + -0.055x = 550 + 0.055x + -0.055x Combine like terms: 0.06x + -0.055x = 0.005x 400 + 0.005x = 550 + 0.055x + -0.055x Combine like terms: 0.055x + -0.055x = 0.000 400 + 0.005x = 550 + 0.000 400 + 0.005x = 550 Add '-400' to each side of the equation. 400 + -400 + 0.005x = 550 + -400 Combine like terms: 400 + -400 = 0 0 + 0.005x = 550 + -400 0.005x = 550 + -400 Combine like terms: 550 + -400 = 150 0.005x = 150 Divide each side by '0.005'. x = 30000 Simplifying x = 30000
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