How can I implement the following SQL query as linq to entities query?

Question

How can I implement the following SQL query as linq to entities query?

select *, MIN(QueuedDate)
from pcm_transactions
where QueuedDate IS NOT NULL And ExecutionDate IS NULL
group by SimId

I spent hours thinking and trying varius methods - hope to find the right answer here.

EDIT:

Here is one of my first tries:

//  Get the oldest queued action
var queuedTransactions =
    (from t in db.TransactionSet
        where t.QueuedDate.HasValue && !t.ExecutionDate.HasValue
        group t by new { t.TransactionId, t.QueuedDate } into tr
        select new
        {
            Transaction = db.TransactionSet.First(q => q.TransactionId == tr.Key.TransactionId), 
            QueuedDate = tr.Min(m => m.QueuedDate)
        }).ToList();