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