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бороться не на жизнь, а на смерть stresses
gen.	hang on like grim death; hold on like grim death; struggle tooth and nail; fight at outrance; fight to outrance; fight tooth and nail
idiom.	hang on for grim death (Wakeful dormouse)
Makarov.	fight at the outrance; fight to the outrance; fight a life and death battle
mil.	fight to kill (Alex_Odeychuk); be engaged in a life-or-death struggle (Alex_Odeychuk)