If ABC and DEF are both 𝟑−digit numbers such that A, B, C, D, E and F are distinct non-zero digits such that 𝑨𝑩𝑪 + 𝑫𝑬𝑭 = 𝟏𝟏𝟏𝟏, then what is the value of 𝐀+𝐁+𝐂+𝐃+𝐄+𝐅?
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