[SQL] How can I delete one of two perfectly identical rows?

I am cleaning out a database table without a primary key (I know, I know, what were they thinking?). I cannot add a primary key, because there is a duplicate in the column that would become the key. The duplicate value comes from one of two rows that are in all respects identical. I can't delete the row via a GUI (in this case MySQL Workbench, but I'm looking for a database agnostic approach) because it refuses to perform tasks on tables without primary keys (or at least a UQ NN column), and I cannot add a primary key, because there is a duplicate in the column that would become the key. The duplicate value comes from one...

How can I delete one of the twins?

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