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Simplifying 0.02(5000) + 0.03 = 0.025(5000 + x) Multiply 0.02 * 5000 100 + 0.03 = 0.025(5000 + x) Combine like terms: 100 + 0.03 = 100.03 100.03 = 0.025(5000 + x) 100.03 = (5000 * 0.025 + x * 0.025) 100.03 = (125 + 0.025x) Solving 100.03 = 125 + 0.025x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.025x' to each side of the equation. 100.03 + -0.025x = 125 + 0.025x + -0.025x Combine like terms: 0.025x + -0.025x = 0.000 100.03 + -0.025x = 125 + 0.000 100.03 + -0.025x = 125 Add '-100.03' to each side of the equation. 100.03 + -100.03 + -0.025x = 125 + -100.03 Combine like terms: 100.03 + -100.03 = 0.00 0.00 + -0.025x = 125 + -100.03 -0.025x = 125 + -100.03 Combine like terms: 125 + -100.03 = 24.97 -0.025x = 24.97 Divide each side by '-0.025'. x = -998.8 Simplifying x = -998.8
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