First mortgage loan advice? sent papers in today!

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The loan officer said my numbers were tight with my income being a waitor and all but after she ran the current tenant living upstairs rented at 625, she said that made a huge difference and should get in. I also have a credit dispute in tact that should be cleared up in the next couple weeks which will bring my 3 scores at 730, at least 680+ on the two with the name mix up. The lady said my chances are excellent but how many of you actually still have problems after the loan officer says that ? thank you still nervous because I want this house so bad and to get started to building wealth! It's all I think of is the bank. Also should I contact smaller local banks as well just incase this doesn't go through? thank you!