BERLIN — Deutsche Telekom AG, the parent company of T-Mobile USA, has raised its bid for MetroPCS Communications Inc. to placate shareholders for the cellphone carriers.

The disclosure late Wednesday came ahead of a special shareholder meeting MetroPCS had scheduled for Friday. Major MetroPCS shareholders had voiced their opposition to the deal, saying they were not getting a fair share of the combined company.

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Two shareholder advisory firms had also said they opposed the deal last week, ­sending shares of Dallas-based MetroPCS up in expectation of a sweetened bid from Deutsche. The German ­company called its new bid its ‘‘best and final offer.’’

Paulson & Co., the largest shareholder of MetroPCS, said Thursday that it now intends to vote in favor of the deal.