This is the only way I can think of doing it.
Do not currently have enough time to explain its operation, so please post questions in comments;
WITH DataCTE (RowID, a, b, c, d, e, f) AS
(
SELECT 1, 1, 1, 5, 5, 5, NULL UNION ALL
SELECT 2, 2, 2, 2, 2, 25, 25 UNION ALL
SELECT 3, 3, 7, 35, 35, 35, 35
)
,UnPivotted AS
(
SELECT DC.RowID
,CA.Distinctcol
,OrdinalCol = ROW_NUMBER() OVER (PARTITION BY DC.RowID ORDER BY CA.Distinctcol)
FROM DataCTE DC
CROSS
APPLY (
SELECT Distinctcol
FROM
(
SELECT Distinctcol = a UNION
SELECT b UNION
SELECT c UNION
SELECT d UNION
SELECT e UNION
SELECT f
)DT
WHERE Distinctcol IS NOT NULL
) CA(Distinctcol)
)
SELECT RowID
,Col1 = MAX(CASE WHEN OrdinalCol = 1 THEN Distinctcol ELSE NULL END)
,Col2 = MAX(CASE WHEN OrdinalCol = 2 THEN Distinctcol ELSE NULL END)
,Col3 = MAX(CASE WHEN OrdinalCol = 3 THEN Distinctcol ELSE NULL END)
,Col4 = MAX(CASE WHEN OrdinalCol = 4 THEN Distinctcol ELSE NULL END)
,Col5 = MAX(CASE WHEN OrdinalCol = 5 THEN Distinctcol ELSE NULL END)
FROM UnPivotted
GROUP BY RowID