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Simplifying 0.05x + 0.06(x + 400) = 57 Reorder the terms: 0.05x + 0.06(400 + x) = 57 0.05x + (400 * 0.06 + x * 0.06) = 57 0.05x + (24 + 0.06x) = 57 Reorder the terms: 24 + 0.05x + 0.06x = 57 Combine like terms: 0.05x + 0.06x = 0.11x 24 + 0.11x = 57 Solving 24 + 0.11x = 57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 0.11x = 57 + -24 Combine like terms: 24 + -24 = 0 0 + 0.11x = 57 + -24 0.11x = 57 + -24 Combine like terms: 57 + -24 = 33 0.11x = 33 Divide each side by '0.11'. x = 300 Simplifying x = 300
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