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заручиться поддержкой stresses
gen.	get on board (Moscowtran); enlist the help (azalan); win endorsement (SirReal); solicit support (segu); enlist; gather support (bookworm); win support (bookworm); muster support (Anglophile); attain commitment (Viacheslav Volkov); gain support (Anglophile); garner support (AnnaB); gain the backing (Supernova); enlist someone's support (кого-либо)
Игорь Миг	galvanise support
amer.	placate
busin.	enlist someone's help (кого-либо; I have been asked by our Moscow office to enlist your help with regard to the payment of some outstanding bills... андралекс)
dipl.	obtain the support of (кого-либо Alex_Odeychuk); secure the backing; earn support (from ... – кого-либо; англ. цитата приводится из статьи в газете Times Alex_Odeychuk); obtain support (bigmaxus); enlist the support of (bigmaxus); gain over (bigmaxus)
inf.	get an in with (кого-то, кто может помочь решить тот или иной вопрос: The only way they'll allow us to film the play is if we get an in with the director. 4uzhoj)
Makarov.	enlist support; earn support
media.	enlist sb's support in sth (bigmaxus)
заручиться чьей-либо поддержкой
gen.	gain over to a cause; ensure the support of (someone); enlist the support of (someone); gain someone over
dipl.	drum up support; enlist aid; enlist up support; enlist support
заручиться поддержкой (кого-л.)
gen.	get sb. behind sb. ("We're still small, so as we grow it does get easier getting the banks behind us." (BC Business Magazine) ART Vancouver)

заручиться поддержкой: 19 phrases in 5 subjects

Business	1
Foreign policy	1
General	7
Makarov	9
Medical	1