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Simplifying 0.055(x + 5000) = 0.06x + 0.04(2000) Reorder the terms: 0.055(5000 + x) = 0.06x + 0.04(2000) (5000 * 0.055 + x * 0.055) = 0.06x + 0.04(2000) (275 + 0.055x) = 0.06x + 0.04(2000) Multiply 0.04 * 2000 275 + 0.055x = 0.06x + 80 Reorder the terms: 275 + 0.055x = 80 + 0.06x Solving 275 + 0.055x = 80 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 275 + 0.055x + -0.06x = 80 + 0.06x + -0.06x Combine like terms: 0.055x + -0.06x = -0.005x 275 + -0.005x = 80 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 275 + -0.005x = 80 + 0.00 275 + -0.005x = 80 Add '-275' to each side of the equation. 275 + -275 + -0.005x = 80 + -275 Combine like terms: 275 + -275 = 0 0 + -0.005x = 80 + -275 -0.005x = 80 + -275 Combine like terms: 80 + -275 = -195 -0.005x = -195 Divide each side by '-0.005'. x = 39000 Simplifying x = 39000
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