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Simplifying 2x + y + 4z = 1 Solving 2x + y + 4z = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2x + y + -1y + 4z = 1 + -1y Combine like terms: y + -1y = 0 2x + 0 + 4z = 1 + -1y 2x + 4z = 1 + -1y Add '-4z' to each side of the equation. 2x + 4z + -4z = 1 + -1y + -4z Combine like terms: 4z + -4z = 0 2x + 0 = 1 + -1y + -4z 2x = 1 + -1y + -4z Divide each side by '2'. x = 0.5 + -0.5y + -2z Simplifying x = 0.5 + -0.5y + -2z
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