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Simplifying 0.01x + 0.07(x + 4000) = 1000 Reorder the terms: 0.01x + 0.07(4000 + x) = 1000 0.01x + (4000 * 0.07 + x * 0.07) = 1000 0.01x + (280 + 0.07x) = 1000 Reorder the terms: 280 + 0.01x + 0.07x = 1000 Combine like terms: 0.01x + 0.07x = 0.08x 280 + 0.08x = 1000 Solving 280 + 0.08x = 1000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-280' to each side of the equation. 280 + -280 + 0.08x = 1000 + -280 Combine like terms: 280 + -280 = 0 0 + 0.08x = 1000 + -280 0.08x = 1000 + -280 Combine like terms: 1000 + -280 = 720 0.08x = 720 Divide each side by '0.08'. x = 9000 Simplifying x = 9000
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