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Simplifying 2x + 1y + -1z = 8 Solving 2x + 1y + -1z = 8 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 + 1y + -1y + -1z = 8 + -1y Combine like terms: 1y + -1y = 0 2x + 0 + -1z = 8 + -1y 2x + -1z = 8 + -1y Add 'z' to each side of the equation. 2x + -1z + z = 8 + -1y + z Combine like terms: -1z + z = 0 2x + 0 = 8 + -1y + z 2x = 8 + -1y + z Divide each side by '2'. x = 4 + -0.5y + 0.5z Simplifying x = 4 + -0.5y + 0.5z
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