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