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Simplifying 0.065(x + 5000) = 0.07x + 0.03(4000) Reorder the terms: 0.065(5000 + x) = 0.07x + 0.03(4000) (5000 * 0.065 + x * 0.065) = 0.07x + 0.03(4000) (325 + 0.065x) = 0.07x + 0.03(4000) Multiply 0.03 * 4000 325 + 0.065x = 0.07x + 120 Reorder the terms: 325 + 0.065x = 120 + 0.07x Solving 325 + 0.065x = 120 + 0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.07x' to each side of the equation. 325 + 0.065x + -0.07x = 120 + 0.07x + -0.07x Combine like terms: 0.065x + -0.07x = -0.005x 325 + -0.005x = 120 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 325 + -0.005x = 120 + 0.00 325 + -0.005x = 120 Add '-325' to each side of the equation. 325 + -325 + -0.005x = 120 + -325 Combine like terms: 325 + -325 = 0 0 + -0.005x = 120 + -325 -0.005x = 120 + -325 Combine like terms: 120 + -325 = -205 -0.005x = -205 Divide each side by '-0.005'. x = 41000 Simplifying x = 41000
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