Ku dhammaystiro weedha soo socota: Balashov wuxuu matalay USSR dhowr tartan oo kooxeed. Wuxuu ka ciyaaray guddiga labaad ee kooxda USSR ee 1971, 1972, iyo 1974 Koobka Kooxda Ardayda Adduunka, isagoo ku guuleystay dahabka shaqsiyeed ee guddiga labaad ee 1971, markii uu ahaa sayid caalami ah, oo leh dhibco dhan 61⁄2/8 dhibcood. Balashov wuxuu ka ciyaaray afar Koox oo ka tirsan Kooxda Horyaalka Yurub ee Chess, 1970, 1973, 1977, iyo 1980, isagoo ku guuleystay dahab shaqsiyeed guddiga shanaad ee 1977. Marka la eego
24th Chess Olympiad sanadkii 1980, wuxuu dhaliyay 71⁄2/10 isagoo ahaa kaydkii ugu horreeyay ee guddiga si uu uga caawiyo kooxda USSR inay ku guuleystaan billad dahab ah.