Perry on Friday issued a statement saying he has accepted an invitation from the Tarrant County and Denton County GOP to debate in Denton this fall.
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A spokeswoman for Hutchison, who this week officially kicked off her campaign, said the senator looks forward to working out scheduling for many debate requests.
Jennifer Baker said Hutchison is "excited to talk about her conservative vision for the future of Texas."
Hutchison has agreed to the Belo debate, but Baker had no specifics about other debates with Perry in which the senator will take part.