When is a contract cancelled?

Question Details:

I'm currently in a contract with alarm company A that ends in roughly 7 months. I go into a contract with alarm company B and inquire with company A to cancel contract. Company A says I'll have to submit a cancellation letter and pay the remainding balance of the contract. I decide not to send the letter to cancel company A contract. I make payments to both company A and B. My inquery about cancellation happened about 5 months ago. I recently received a letter from company A saying they cancelled my contract and that I need to pay the balance by the end of the month. Am I obligated to pay?

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