AS7 comes with a default application deployed to / context. When you hit localhost:8080, you'll be shown a page which has a message which says:
To replace this page set "enable-welcome-root" to false in your server configuration and deploy your own war with / as its context path.
So in the web subsystem of your standalone.xml, set that attribute to false and deploy your war at / context.
That's embarrassing...it was in front of my face the whole time. Thanks for your help!