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If the cause of distress seems to be emotional (not sensory), then a relaxation exercise may help them calm down enough to talk about it. If they say yes to a relaxation exercise, try helping them through one of these:    Sensory grounding: Have them name 5 things they can see right now, 4 things they can touch, 3 things they can hear, 2 things they can smell (or that they like to smell in general), and 1 good thing about themselves. Count off on your fingers.  Box breathing: Have them breathe in for a count of 4, hold it for a count of 4, breathe out for a count of 4, rest for a count of 4, and repeat. and validate their feelings if they want to talk about what's bothering them. Sometimes, people just need to vent and be listened to. Let them talk it out if they want to discuss what's bothering them. Here are some helpful examples of things you could say:   "I'm here to listen if you'd like to talk about it." "Take your time. I'm not going anywhere." "I'm sorry to hear that that happened to you." "That sounds difficult." "Of course you're upset. You're in a really tough situation. It's natural to be stressed about that." Sometimes, people just need to "have a good cry" and let out their emotions.  Try saying "It's okay to cry" or "Cry all you need to. I'm here." You can bring a comfort item, offer to play their favorite music, offer affection, or do whatever you know helps the autistic person feel calmer.  What's most calming can be different depending on the situation. So if they decline a hug in favor of listening to their favorite music and rocking back and forth, don't take it personally. They know what they need right now.
Ask if they'd like you to lead them in a relaxation exercise. Listen Let them cry it out. Offer comfort as needed.