If you have SQL Server 2005 or newer, then the easiest way would be to use a CTE (Common Table Expression).
You need to know what criteria you want to "partition" your data by - e.g. create partitions of data that is considered identical/duplicate - and then you need to order those partitions by something - e.g. a sequence ID, a date/time or something.
You didn't provide much details about your tables - so let me just give you a sample:
;WITH Duplicates AS
(
   SELECT  
       OrderID,
       ROW_NUMBER() OVER (PARTITION BY CustomerID ORDER BY OrderDate DESC) AS RowN
   FROM
       dbo.Orders
)
DELETE FROM dbo.Orders
WHERE RowN > 1
The CTE ( WITH ... AS :... ) gives you an "inline view" for the next SQL statement - it's not persisted or anything - it just lives for that next statement and then it's gone.
Basically, I'm "grouping" (partitioning) my Orders by CustomerID, and ordering by OrderDate. So for each CustomerID, I get a new "group" of data, which gets a row number starting with 1. The ORDER BY OrderDate DESC gives the newest order for each customer the RowN = 1 value - this is the one order I keep.
All other orders for each customer are deleted based on the CTE (the WITH..... expression).
You'll need to adapt this for your own situation, obviously - but the CTE with the PARTITION BY and ROW_NUMBER() are a very reliable and easy technique to get rid of duplicates.