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Simplifying 2x + -1y + 2z = 6 Solving 2x + -1y + 2z = 6 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 + 2z = 6 + y Combine like terms: -1y + y = 0 2x + 0 + 2z = 6 + y 2x + 2z = 6 + y Add '-2z' to each side of the equation. 2x + 2z + -2z = 6 + y + -2z Combine like terms: 2z + -2z = 0 2x + 0 = 6 + y + -2z 2x = 6 + y + -2z Divide each side by '2'. x = 3 + 0.5y + -1z Simplifying x = 3 + 0.5y + -1z
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