Qoraalka ku sii darso faqradan - Balashov wuxuu matalayay USSR dhowr ciyaarood 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. Olombikada 24aad ee Chess-ka
1980, wuxuu dhaliyay 7⁄2/10 isagoo ahaa kaydkii ugu horreeyay ee guddiga ka caawiya kooxda USSR inay ku guuleystaan billad dahab ah.