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Simplifying 0.05(4000 + -1x) + 0.08(x) = 284 (4000 * 0.05 + -1x * 0.05) + 0.08(x) = 284 (200 + -0.05x) + 0.08(x) = 284 Combine like terms: -0.05x + 0.08x = 0.03x 200 + 0.03x = 284 Solving 200 + 0.03x = 284 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + 0.03x = 284 + -200 Combine like terms: 200 + -200 = 0 0 + 0.03x = 284 + -200 0.03x = 284 + -200 Combine like terms: 284 + -200 = 84 0.03x = 84 Divide each side by '0.03'. x = 2800 Simplifying x = 2800
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