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Simplifying 0.065(x + 5000) = 0.08x + 0.05(5000) Reorder the terms: 0.065(5000 + x) = 0.08x + 0.05(5000) (5000 * 0.065 + x * 0.065) = 0.08x + 0.05(5000) (325 + 0.065x) = 0.08x + 0.05(5000) Multiply 0.05 * 5000 325 + 0.065x = 0.08x + 250 Reorder the terms: 325 + 0.065x = 250 + 0.08x Solving 325 + 0.065x = 250 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 325 + 0.065x + -0.08x = 250 + 0.08x + -0.08x Combine like terms: 0.065x + -0.08x = -0.015x 325 + -0.015x = 250 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 325 + -0.015x = 250 + 0.00 325 + -0.015x = 250 Add '-325' to each side of the equation. 325 + -325 + -0.015x = 250 + -325 Combine like terms: 325 + -325 = 0 0 + -0.015x = 250 + -325 -0.015x = 250 + -325 Combine like terms: 250 + -325 = -75 -0.015x = -75 Divide each side by '-0.015'. x = 5000 Simplifying x = 5000
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