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A study of B-+/- -> J/psi pi(+/-) and B-+/- -> psi(2S)pi(+/-) decays is performed with data corresponding to 0.37 fb(-1) of proton-proton collisions at root s = 7 TeV. Their branching fractions are found to be B(B-+/- -> J/psi pi(+/-)) = (3.88 +/- 0.11 +/- 0.15) x 10(-5) and B(B-+/- -> psi(2S)pi(+/-)) = (2.52 +/- 0.26 +/- 0.15) x 10(-5); where the first uncertainty is related to the statistical size of the sample and the second quantifies systematic effects. The measured CP asymmetries in these modes are A(CP)(J/psi pi) = 0.005 +/- 0.027 +/- 0.011 and A(CP)(psi(2S)pi) = 0.048 +/- 0.090 +/- 0.011 with no evidence of direct CP violation seen.