  In this work we present a new approach for the combination of electroweak
(EW) corrections at high energies, the so-called EW Sudakov logarithms (EWSL),
and next-to-leading-order QCD predictions matched to parton-shower simulations
(NLO+PS). Our approach is based on a reweighting procedure of NLO+PS events. In
particular, both events with and without an extra hard emission from matrix
elements are consistently reweighted via the inclusion of the corresponding
EWSL contribution. We describe the technical details and the implementation in
the MadGraph5_aMC@NLO framework. Via a completely automated procedure, events
at this new level of accuracy can be obtained for a vast class of
hadroproduction processes. As a byproduct we provide results for
phenomenologically relevant physical distributions from top-quark pair and
Higgs boson associated production ($t\overline{t}H$) and from the associated
production of three $Z$ gauge bosons ($ZZZ$).
