Not getting texts-only from some numbers

Just got the Motorola Droid Razr M and I am not receiving text messages from only some numbers. How do I get this issue resolved? Most of the messages I am not receiving are from family so this is a big issue. I have tried turning the phone off then on, I have taken out the SIM and put it back in. I have never been an iPhone user so they stock advice to deactivate iMessage is useless.

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