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