Update!
I fixed it! Oh the joys of Chrome Inspect Element plus some more googling.
This is what did it:
#supplementary.two .widget-area {
/* Override styles here */
}
#first.widget-area {
float: left !important;
margin-right: 0% !important;
width: 42% !important;
}
#second.widget-area {
float: right;
margin-right: 0%;
width: 55% !important;
}
Something in there might be superfluous but I was so happy to finally do it that I wasn't going to mess with it again.