Optimizing A Query To Delete Duplicates

I have a DELETE statement that deletes duplicate data from a table. It
takes a long time to execute, so I thought I'd seek advice here. The
structure of the table is little funny. The following is NOT the table,
but the representation of the data in the table:

+-----------+
| a | b |
+-----+-----+
| 123 | 234 |
| 345 | 456 |
| 123 | 123 |
+-----+-----+

As you can see, the data is tabular. This is how it is stored in the table:

+-----+-----------+------------+
| Row | FieldName | FieldValue |
+-----+-----------+------------+
| 1 | a | 123 |
| 1 | b | 234 |
| 2 | a | 345 |
| 2 | b | 456 |
| 3 | a | 123 |
| 3 | b | 234 |
+-----+-----------+------------+

What I need is to delete all records having the same "Row" when there exists
the same set of records with a different (smaller, to be precise) "Row".
Using the example above, what I need to get is:

+-----+-----------+------------+
| Row | FieldName | FieldValue |
+-----+-----------+------------+
| 1 | a | 123 |
| 1 | b | 234 |
| 2 | a | 345 |
| 2 | b | 456 |
+-----+-----------+------------+

A slow way of doing this seem to be:

DELETE FROM X
WHERE Row IN
(SELECT DISTINCT Row FROM X x1
WHERE EXISTS
(SELECT * FROM X x2
WHERE x2.Row < x1.Row
AND NOT EXISTS
(SELECT * FROM X x3
WHERE x3.Row = x2.Row
AND x3.FieldName = x2.FieldName
AND x3.FieldValue <> x1.FieldValue)))

Can this be done faster, better, and cheaper?