If you open your query in LinqPad , you will see that both queries
dbContext.Projects.Where(p=>p.ProjectId!=ProjectId).Where(p=>p.Name==Name) dbContext.Projects.Where(p=>p.ProjectId!=ProjectId && p.Name==Name);
will lead to
SELECT [...] FROM [...] WHERE p.ProjectId <> someId AND p.Name = 'something'
There is no difference in performance or in the structure of SQL queries.
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