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How do I create a self-signed S/MIME signing certificate with OpenSSL and then sign a file? [migrated]

I would like to create a certificate with OpenSSL and then use it to create an S/MIME format detached signature of a file. Is this something that makes sense in the context of S/MIME? How do I get ...
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In S/MIME, are the same certificates always used to sign and encrypt messages?

My assumption is that S/MIME almost always utilizes certificates as follows: My certificate can be used to allow people to encrypt messages and send them to me. My certificate (the same ...