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Simplifying 400x + 500y + 200z = 1930 Solving 400x + 500y + 200z = 1930 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-500y' to each side of the equation. 400x + 500y + -500y + 200z = 1930 + -500y Combine like terms: 500y + -500y = 0 400x + 0 + 200z = 1930 + -500y 400x + 200z = 1930 + -500y Add '-200z' to each side of the equation. 400x + 200z + -200z = 1930 + -500y + -200z Combine like terms: 200z + -200z = 0 400x + 0 = 1930 + -500y + -200z 400x = 1930 + -500y + -200z Divide each side by '400'. x = 4.825 + -1.25y + -0.5z Simplifying x = 4.825 + -1.25y + -0.5z
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