I'm wondering why somebody added a new answer to an almost-three-year-old question, while providing nothing not covered in other answers, while also not even bothering to explain their answer (though the edit helped significantly).

@Glitch_Doctor That'd be an interesting problem to pursue. Perhaps ask a question about it?

That's a different, though still interesting, question.

Yes, this is one of the 12 solutions mentioned in my answer above. I don't know if I'd call this an "easier solution", but it is definitely easier to remember. :)

I just wanted to mention that with the submission of (Reti43's answer)[puzzling.stackexchange.com/a/31429/11], I moved the accepted answer to his. The reason I did this is because I felt that this answer does a very good job describing how to translate the problem from alphametic to algebraic, but that his answer does a better job describing how to take that algebraic and solve it. However, I wanted to make a clear point: Both are very good answers.

This is exactly the sort of general solution I was hoping to get when I posted this question. Feel free to post an answer with generalized solutions like that! While the brute-force approach in the accepted answer works, "intuitive guessing" strategies are ones I find easier to use.