Inside security use sky link (train) or if you're outside security use terminal link (bus)
I agree with Saint Lilith. After you go through security, you can catch a train that travels to each terminal. Outside of security there's a shuttle/bus. Just don't get on the TEXRail or DART, those trains go into downtown Dallas and Fort Worth (not another terminal).
You can walk east about 1,000' to get to Terminal A through its DART station. To get to any other, go upstairs to the Terminal Link bus stop. Alternatively, if you're departing from Terminal A, B, C, or D on American, you can check in, go through security, and walk to your gate. Terminal E cannot be walked to.
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