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Simplifying 0.075(x + 4000) = 0.08x + 0.03(3000) Reorder the terms: 0.075(4000 + x) = 0.08x + 0.03(3000) (4000 * 0.075 + x * 0.075) = 0.08x + 0.03(3000) (300 + 0.075x) = 0.08x + 0.03(3000) Multiply 0.03 * 3000 300 + 0.075x = 0.08x + 90 Reorder the terms: 300 + 0.075x = 90 + 0.08x Solving 300 + 0.075x = 90 + 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. 300 + 0.075x + -0.08x = 90 + 0.08x + -0.08x Combine like terms: 0.075x + -0.08x = -0.005x 300 + -0.005x = 90 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 300 + -0.005x = 90 + 0.00 300 + -0.005x = 90 Add '-300' to each side of the equation. 300 + -300 + -0.005x = 90 + -300 Combine like terms: 300 + -300 = 0 0 + -0.005x = 90 + -300 -0.005x = 90 + -300 Combine like terms: 90 + -300 = -210 -0.005x = -210 Divide each side by '-0.005'. x = 42000 Simplifying x = 42000
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