Ripple Delete Single Clip on One Track?

Super noob question driving me nuts. 

I have a timeline with an audio bed that will not change. I'm moving video clips around and trying different options. I would like to be able to delete a single video clip and have everything thereafter move up and close the gap. I've tried selecting the clip and shift/delete. Nothing happens. Is there a simple, one-step way to do this?

Thanks!