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