You're right. IIRC 3x companies of 10, plus HQ tanks. 35 is right around the number of T-72s in a tank battalion under the old order of the battle.
Ken White, a better scout than I, will be sure to correct my math if I'm wrong.
Recall that Qadafi restructured the Libyan army in the 80s to Bde and Bn centric organization because he was paranoid of organized assassination attempts.
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