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Simplifying 8000(x + 0.02) + 2000x = 578 Reorder the terms: 8000(0.02 + x) + 2000x = 578 (0.02 * 8000 + x * 8000) + 2000x = 578 (160 + 8000x) + 2000x = 578 Combine like terms: 8000x + 2000x = 10000x 160 + 10000x = 578 Solving 160 + 10000x = 578 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + 10000x = 578 + -160 Combine like terms: 160 + -160 = 0 0 + 10000x = 578 + -160 10000x = 578 + -160 Combine like terms: 578 + -160 = 418 10000x = 418 Divide each side by '10000'. x = 0.0418 Simplifying x = 0.0418
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