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Simplifying 100x + 250y + 50z = 400 Solving 100x + 250y + 50z = 400 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-250y' to each side of the equation. 100x + 250y + -250y + 50z = 400 + -250y Combine like terms: 250y + -250y = 0 100x + 0 + 50z = 400 + -250y 100x + 50z = 400 + -250y Add '-50z' to each side of the equation. 100x + 50z + -50z = 400 + -250y + -50z Combine like terms: 50z + -50z = 0 100x + 0 = 400 + -250y + -50z 100x = 400 + -250y + -50z Divide each side by '100'. x = 4 + -2.5y + -0.5z Simplifying x = 4 + -2.5y + -0.5z
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