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Simplifying 0.075(x + 5000) = 0.08x + 0.06(4000) Reorder the terms: 0.075(5000 + x) = 0.08x + 0.06(4000) (5000 * 0.075 + x * 0.075) = 0.08x + 0.06(4000) (375 + 0.075x) = 0.08x + 0.06(4000) Multiply 0.06 * 4000 375 + 0.075x = 0.08x + 240 Reorder the terms: 375 + 0.075x = 240 + 0.08x Solving 375 + 0.075x = 240 + 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. 375 + 0.075x + -0.08x = 240 + 0.08x + -0.08x Combine like terms: 0.075x + -0.08x = -0.005x 375 + -0.005x = 240 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 375 + -0.005x = 240 + 0.00 375 + -0.005x = 240 Add '-375' to each side of the equation. 375 + -375 + -0.005x = 240 + -375 Combine like terms: 375 + -375 = 0 0 + -0.005x = 240 + -375 -0.005x = 240 + -375 Combine like terms: 240 + -375 = -135 -0.005x = -135 Divide each side by '-0.005'. x = 27000 Simplifying x = 27000
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