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