Three Dimensional Geometry | Intersection of Planes

Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x – y + z = 0?

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<span style=" white-space: pre-wrap; background-">4x – 3y – z = -3</span>

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