How do I use the character 肯?

So despite recently passing HSK5, in all my time studying Chinese I have never used this character. I gather it means something like "to be willing to"...? I've always used 愿意 for this, and from what I can determine, Chinese people do the same.

So the point of this thread is... when do they use 肯? Do they actually use it much at all? What is the difference between 肯 and 愿意? Are there any common phrases or collocations or contexts where I should use 肯, where 愿意 would be wrong or sound weird?

这个字到底咋用啊?

Thanks in advance!

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