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Simplifying 0.25x + 0.75y + 5z = 100 Solving 0.25x + 0.75y + 5z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75y' to each side of the equation. 0.25x + 0.75y + -0.75y + 5z = 100 + -0.75y Combine like terms: 0.75y + -0.75y = 0.00 0.25x + 0.00 + 5z = 100 + -0.75y 0.25x + 5z = 100 + -0.75y Add '-5z' to each side of the equation. 0.25x + 5z + -5z = 100 + -0.75y + -5z Combine like terms: 5z + -5z = 0 0.25x + 0 = 100 + -0.75y + -5z 0.25x = 100 + -0.75y + -5z Divide each side by '0.25'. x = 400 + -3y + -20z Simplifying x = 400 + -3y + -20z
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