OK, so a similar question to this has been asked before, but it was using the old ACM style.
The new ACM LateX style, acmart, recommends that you use multiple affiliation commands to list multiple affiliations, like so:
\author{Baz Quux}
\affiliation{%
\institution{University of Software Engineering}
\streetaddress{123 Fakenstra{\ss}e}
\city{Fakenburg}
\country{Fakeistan}
\postcode{POIUYT}
}
\affiliation{%
\institution{FooCorp}
\streetaddress{123 Fake Street}
\city{Fakeville}
\country{Fakeistan}
\postcode{QWERTY}
}
\email{fake2@example.com}
That's all fine and dandy, but the outcome (at least to my mind) looks rather stupid and is somewhat hard to read, like so:

It also wastes vertical space (important in a tightly-spaced paper).
How can I achieve a result more like the accepted answer for this question?
It's been suggested that I use \additionalaffiliation, but unfortunately the conference insists that authors use a version of acmart that doesn't have it.