The boys were uninjured, but the video taken last week shows the two climbing the furniture, until it falls down.
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The unsecured dresser gave in to their combined weight, and trapped one brother under it.
The other brother was able to free his twin, however.
Their mother shared the video on social media as a warning to others to secure their dressers to avoid the danger.
Their father, Ricky, posted this message along with the video:
I've been a little hesitant to post this. But I feel it's not only to bring awareness, but it is also incredible. We are so grateful for the bond that these twin brothers share. We know Bowdy was not alone in moving the dresser off of Brock. And feel blessed that he is ok. Please make sure all your dressers are bolted and secured to the wall.