Is it safe to do the following?

Suppose I do not want the HD wallet, but I do want the convenience of using mnemonic words to remember the private key. I know I can convert the private key’s hex representation to byte format from which I can get binary format, from there I can follow BIP-39 to generate 24 words that are represented by that private key (because general addresses are used by randomly producing a 256 bit word which is equivalent to 24 words). Can I now use these “mnemonic” words to remember my private key, and completely disregard it (since I can always use these words to get back to the private key). I guess what I am wondering is whether there are cases where different private keys can produce the same collection of 24 words.

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