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Simplifying x * 0.04 = (x + -10000) * 0.06 Reorder the terms for easier multiplication: 0.04x = (x + -10000) * 0.06 Reorder the terms: 0.04x = (-10000 + x) * 0.06 Reorder the terms for easier multiplication: 0.04x = 0.06(-10000 + x) 0.04x = (-10000 * 0.06 + x * 0.06) 0.04x = (-600 + 0.06x) Solving 0.04x = -600 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 0.04x + -0.06x = -600 + 0.06x + -0.06x Combine like terms: 0.04x + -0.06x = -0.02x -0.02x = -600 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 -0.02x = -600 + 0.00 -0.02x = -600 Divide each side by '-0.02'. x = 30000 Simplifying x = 30000
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