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Simplifying 5000 + 0.6x = 6500 + 0.4x Solving 5000 + 0.6x = 6500 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 5000 + 0.6x + -0.4x = 6500 + 0.4x + -0.4x Combine like terms: 0.6x + -0.4x = 0.2x 5000 + 0.2x = 6500 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 5000 + 0.2x = 6500 + 0.0 5000 + 0.2x = 6500 Add '-5000' to each side of the equation. 5000 + -5000 + 0.2x = 6500 + -5000 Combine like terms: 5000 + -5000 = 0 0 + 0.2x = 6500 + -5000 0.2x = 6500 + -5000 Combine like terms: 6500 + -5000 = 1500 0.2x = 1500 Divide each side by '0.2'. x = 7500 Simplifying x = 7500
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