Recommended route from Brasschaat to Beerse

It depends. Mainly on traffic and roadworks. The E34 is good, but getting there could mean that E19 and back roads work better for you. The antwerp ring can be difficult in sections, as can some of the roads you may need to take to get to the motorway.
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(I guess this is for a commute)
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Try plotting a few options on www.viamichelin.com and see what works out best. Allow an extra 1/2 hour to get there initially until you work out what works best for you.