Is it possible to define two binary operations, ⊕ and ⋆, on the set of real numbers R such that (R, ⊕ , ⋆) is a field (with addition ⊕ and multiplication ⋆) such that the additive identity is 5 and the multiplicative identity is 7? If yes, then define ⊕ and ⋆ accordingly. If no, then explain why not."

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