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I am supposed to represent a generic state as a linear combination of the |-,x> , |+,x> basis vectors. However i dont know why, is the question actually asking for the simultaneous eigenstates of energy and the spin observable along the x axis. If that is what it is asking that makes sense as we would be dealing with a state which must be a linear combination of |+,x> , |+,x> then make sure its an eigen state.

-cheers sarinle