Can I change the Windows Live ID associates

So when I got my Xbox I didn't care about the Live ID... I just got one. Now I've recently changed my email provider to hotmail... and got another Windows Live ID. I know I can somehow group them together, but is there a way to change the one associated with my gamertag? Xbox.com won't let me do that.

Step 1: In the Navigation Pane, click Settings, and then in the Administration screen, click Users.

Step 2: On the user grid, double click on a user to open the record you want to change.

Step 3: In the Primary E-mail text box, enter the new Windows Live ID that the user wants to associate with his/her CRM Live login.

Step 4: On the toolbar, click Send Invitation and then click OK.

Step 5: Click OK and you’re done!