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Simplifying 4x + 2y + z = 100 Solving 4x + 2y + z = 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 + z = 100 + -2y Combine like terms: 2y + -2y = 0 4x + 0 + z = 100 + -2y 4x + z = 100 + -2y Add '-1z' to each side of the equation. 4x + z + -1z = 100 + -2y + -1z Combine like terms: z + -1z = 0 4x + 0 = 100 + -2y + -1z 4x = 100 + -2y + -1z Divide each side by '4'. x = 25 + -0.5y + -0.25z Simplifying x = 25 + -0.5y + -0.25z
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