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As my Treeview items on the right are fixed, I solved the problem by adding one at a time along with your child. Follow the code:
// Adding items to Treeview
TTreeNode *noPai;
noPai = trvDestino->Items->Add(NULL,"Matrícula");
trvDestino->Items->AddChild(noPai,trvOrigem->Items->Item[0]->Text);
noPai = trvDestino->Items->Add(NULL,"Unidade");
trvDestino->Items->AddChild(noPai,trvOrigem->Items->Item[1]->Text);
noPai = trvDestino->Items->Add(NULL,"Gabarito");
trvDestino->Items->AddChild(noPai,trvOrigem->Items->Item[2]->Text);
noPai = trvDestino->Items->Add(NULL,"Respostas");
for(int i=3;i< trvOrigem->Items->Count; i++){
trvDestino->Items->AddChild(noPai,trvOrigem->Items->Item[i]->Text);
}