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Simplifying 2x + 4y + 0.5z = 100 Solving 2x + 4y + 0.5z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 2x + 4y + -4y + 0.5z = 100 + -4y Combine like terms: 4y + -4y = 0 2x + 0 + 0.5z = 100 + -4y 2x + 0.5z = 100 + -4y Add '-0.5z' to each side of the equation. 2x + 0.5z + -0.5z = 100 + -4y + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 2x + 0.0 = 100 + -4y + -0.5z 2x = 100 + -4y + -0.5z Divide each side by '2'. x = 50 + -2y + -0.25z Simplifying x = 50 + -2y + -0.25z
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