I say, you DO NOT want to put ANY clorox into your system! I will significantly change the ph of the water to a caustic base side. Which is HIGHLY efficient at dissolving grease and any other lube that you've use to slip you tubes on and it will effect some plastics and the pump's impeller etc... DO NOT USE BLEACH.
Like I said earlier, try out the Lysol, it works GREAT, I've YET to see any "white-coats: in my tubes!
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XP 1600+ AGOIA-Y (GreenLabel, UNLOCKED!@/ NF7-S 2.0/ PC 2700 DDR
10.5*172FSB(1806/ 1991 high), Vcore 1.792...@84.95Watts
--86' Chevette Heater Core
--1/2" Vinyl tubes
--Via1300-Stealth Mod(QUIET!) 
---Home made copper-tube block
---PVC small internal res
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