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Simplifying 25x + 75y + 500z = 10000 Solving 25x + 75y + 500z = 10000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75y' to each side of the equation. 25x + 75y + -75y + 500z = 10000 + -75y Combine like terms: 75y + -75y = 0 25x + 0 + 500z = 10000 + -75y 25x + 500z = 10000 + -75y Add '-500z' to each side of the equation. 25x + 500z + -500z = 10000 + -75y + -500z Combine like terms: 500z + -500z = 0 25x + 0 = 10000 + -75y + -500z 25x = 10000 + -75y + -500z Divide each side by '25'. x = 400 + -3y + -20z Simplifying x = 400 + -3y + -20z
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