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Simplifying 5000 + 0.06x = 6500 + 0.04x Solving 5000 + 0.06x = 6500 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. 5000 + 0.06x + -0.04x = 6500 + 0.04x + -0.04x Combine like terms: 0.06x + -0.04x = 0.02x 5000 + 0.02x = 6500 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 5000 + 0.02x = 6500 + 0.00 5000 + 0.02x = 6500 Add '-5000' to each side of the equation. 5000 + -5000 + 0.02x = 6500 + -5000 Combine like terms: 5000 + -5000 = 0 0 + 0.02x = 6500 + -5000 0.02x = 6500 + -5000 Combine like terms: 6500 + -5000 = 1500 0.02x = 1500 Divide each side by '0.02'. x = 75000 Simplifying x = 75000
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