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Simplifying 0.05x + 0.11(x + 4000) = 504 Reorder the terms: 0.05x + 0.11(4000 + x) = 504 0.05x + (4000 * 0.11 + x * 0.11) = 504 0.05x + (440 + 0.11x) = 504 Reorder the terms: 440 + 0.05x + 0.11x = 504 Combine like terms: 0.05x + 0.11x = 0.16x 440 + 0.16x = 504 Solving 440 + 0.16x = 504 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-440' to each side of the equation. 440 + -440 + 0.16x = 504 + -440 Combine like terms: 440 + -440 = 0 0 + 0.16x = 504 + -440 0.16x = 504 + -440 Combine like terms: 504 + -440 = 64 0.16x = 64 Divide each side by '0.16'. x = 400 Simplifying x = 400
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