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Simplifying 0.06x + 0.05(x + 1000) = 545 Reorder the terms: 0.06x + 0.05(1000 + x) = 545 0.06x + (1000 * 0.05 + x * 0.05) = 545 0.06x + (50 + 0.05x) = 545 Reorder the terms: 50 + 0.06x + 0.05x = 545 Combine like terms: 0.06x + 0.05x = 0.11x 50 + 0.11x = 545 Solving 50 + 0.11x = 545 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 0.11x = 545 + -50 Combine like terms: 50 + -50 = 0 0 + 0.11x = 545 + -50 0.11x = 545 + -50 Combine like terms: 545 + -50 = 495 0.11x = 495 Divide each side by '0.11'. x = 4500 Simplifying x = 4500
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