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The attacker blew himself up in a car in front of the base in Barsis, some 50 km outside Benghazi, a security source said, Voice of Russia reported.
All those killed were soldiers, medical sources said, but the security source said the attacker was among those killed.
The security situation has sharply deteriorated in Libya's second-largest city in the past few months where car bombs and assassinations of army and police officers happen regularly.
Most countries closed their consulates in Benghazi after a series of attacks and some foreign airlines have stopped flying there.
By Fars News Agency
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