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Simplifying 500 = 0.75x + (750 + 0.025x) Remove parenthesis around (750 + 0.025x) 500 = 0.75x + 750 + 0.025x Reorder the terms: 500 = 750 + 0.75x + 0.025x Combine like terms: 0.75x + 0.025x = 0.775x 500 = 750 + 0.775x Solving 500 = 750 + 0.775x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.775x' to each side of the equation. 500 + -0.775x = 750 + 0.775x + -0.775x Combine like terms: 0.775x + -0.775x = 0.000 500 + -0.775x = 750 + 0.000 500 + -0.775x = 750 Add '-500' to each side of the equation. 500 + -500 + -0.775x = 750 + -500 Combine like terms: 500 + -500 = 0 0 + -0.775x = 750 + -500 -0.775x = 750 + -500 Combine like terms: 750 + -500 = 250 -0.775x = 250 Divide each side by '-0.775'. x = -322.5806452 Simplifying x = -322.5806452
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