If an RSA system, the public key of a given user is e = 31, n = 3599. What is the privet key of this user?  If x = 3 mod 7, and x = 5 mod 13, and x = 8 mod 11, what value is x?  Show all the steps. If code was used to solve this question then attach the code snippet with the answer. If any online-service or reference were used then clearly state so and provide the reference.

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Cryptography

Cryptography is a term used in computer science to describe secure information and communication techniques that transform messages in difficult-to-decipher ways using mathematical concepts and a set of rule-based calculations known as algorithms.