Most of Brazillian beef came from natural grassland area, "Serrado"
Also Pantanal (a kind of swampland of sorts) create some awesome natural pastures, although raising cattle there is harder because of the floods.
Amazon Rainforest destruction has much to do with stupidity (the land there is sand actually, destroying the forest to plant ANYTHING there, even soybeans, is stupid idea), logging, illegal land grabbing, and issues related to certain US companies (Cargill in particular is a big offender).
Also there a lot of conflict is going on there, including political, that made the destruction faster, including destruction being sped up in name of conservation, for example worldwide media was all happy when a particular logger got arrested, only for the destruction to speed up after his arrest, because the people that kept calling the police on him were actually trying to use the police to push him out so they could squat the land, and indeed they did so, as soon he was kicked out, illegal loggers and miners moved in, and fortified, now THOSE people can't be kicked out because they are heavily armed and the police fears the political fallout of that. Meanwhile the area they squatted had logging sped-up a lot, and trees that previously were being preserved as seed stock got cut down, ruining the management work being done there.