You know we use 'each other/one another' instead of reflexives (e.g themselves) when the similar action goes both ways between 2 or more people.
I was reading these examples from a grammar book,
The candidates described each other. (Each one described the other one)
The candidates described themselves. (Each one described himself or herself)
When I wondered what if I want to say 'each candidate described himself and the other one'. Well of course my first thought was,
The candidates described themselves and each other.
Is there a word that I can use instead of 'themselves and each other'? Can I write the sentence in a better way?