You have to do only one thing first (a thing most people forget!!!)
You have to go in xbox.com or in your profile in settings in your 360 dashboard and use the tranfer license tool (if you transfer from a old console to a new one.
If not that´s depends if you transfer from slim old hd to a new one unfortunuly you have no way to transfer between then..., you have to go in your download history and order the download agian all your content...
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