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Simplifying 4x + 2y + 0.5z = 100 Solving 4x + 2y + 0.5z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 4x + 2y + -2y + 0.5z = 100 + -2y Combine like terms: 2y + -2y = 0 4x + 0 + 0.5z = 100 + -2y 4x + 0.5z = 100 + -2y Add '-0.5z' to each side of the equation. 4x + 0.5z + -0.5z = 100 + -2y + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 4x + 0.0 = 100 + -2y + -0.5z 4x = 100 + -2y + -0.5z Divide each side by '4'. x = 25 + -0.5y + -0.125z Simplifying x = 25 + -0.5y + -0.125z
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