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Simplifying 0.055(x + 5000) = 0.06 + 0.04(2000) Reorder the terms: 0.055(5000 + x) = 0.06 + 0.04(2000) (5000 * 0.055 + x * 0.055) = 0.06 + 0.04(2000) (275 + 0.055x) = 0.06 + 0.04(2000) Multiply 0.04 * 2000 275 + 0.055x = 0.06 + 80 Combine like terms: 0.06 + 80 = 80.06 275 + 0.055x = 80.06 Solving 275 + 0.055x = 80.06 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-275' to each side of the equation. 275 + -275 + 0.055x = 80.06 + -275 Combine like terms: 275 + -275 = 0 0 + 0.055x = 80.06 + -275 0.055x = 80.06 + -275 Combine like terms: 80.06 + -275 = -194.94 0.055x = -194.94 Divide each side by '0.055'. x = -3544.363636 Simplifying x = -3544.363636
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