Plus...not knowing the toxicity of "The Slim", you probably have it throughout your water lines as well. It looks like Sulfur Bacteria which is common from standing well water (no chlorine). I would contact a water treatment company for advice and have water tested. It can be broken down and flushed but will take time. You can probably do this without removing or opening up holes in the tank but most important...you need to kill it. This is an interesting read:
waterquality.cce.cornell.edu/publications/CCEWQ-07-HydrogenSulfide.pdf
One paragraph from this article states:
"For example, sulfur bacteria produce slime that may
cause clogging problems. Shock chlorination of the
entire water system, including storage tanks, hot water
tanks, and distribution lines, may be necessary to
kill the bacteria (see Water Treatment Notes 5:
Chlorination of Drinking Water). Chlorine should
remain in the system for several hours, preferably
overnight. If the problem persists, continuous chlorination
may be required."