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Simplifying x = 0.4(0.2x + 40000) + 20000 Reorder the terms: x = 0.4(40000 + 0.2x) + 20000 x = (40000 * 0.4 + 0.2x * 0.4) + 20000 x = (16000 + 0.08x) + 20000 Reorder the terms: x = 16000 + 20000 + 0.08x Combine like terms: 16000 + 20000 = 36000 x = 36000 + 0.08x Solving x = 36000 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. x + -0.08x = 36000 + 0.08x + -0.08x Combine like terms: x + -0.08x = 0.92x 0.92x = 36000 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 0.92x = 36000 + 0.00 0.92x = 36000 Divide each side by '0.92'. x = 39130.43478 Simplifying x = 39130.43478
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