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