ArtBoy

Thanks to everyone that has replied, really appreciate it! This is the closes that I've gotten to it. It was fairly simple. Through your advice and trial and error I primarily used the Align Tool - Space Horizontally while having the big main circle and two smaller left and right circles selected. That took care of the symmetry. The problem now is that its not closed off in the four small triangle-ish corners where I have an arrow pointed at. So when using the shape builder tool as the last step, well I end up with the shape at the bottom.

Looking to follow along with a tutorial AD uploaded. What are some ways I can evenly and precisely place all the ellipses (left)? Would this be with the use of the snapping tool or a different tool? Perhaps done using a method? I start off by creating the biggest circle> small circle left> ctrl+shift, drag 2nd small circle to right. My troubles are getting the top and lower ovals snapped and precisely touching both left and right circle. How would you do the process from start to finish? Thank you!