Alright, let's solve this problem step by step. We have 7755 and 2623 and we're adding them together.

Step 1: We'll start by adding the digits 5 & 3 in column 1 and get 8.

Step 2: We'll start by adding the digits 5 & 2 in column 2 and get 7.

Step 3: We'll start by adding the digits 7 & 6 in column 3 and get 13.
We'll write down the last digit 3 and carry the 1 to the next column.

Step 4: We'll start by adding the digits 7 & 2 in column 4 and get 10.
We'll write down the last digit 0 and carry the 1 to the next column.

So, 7755 + 2623 = 10378.

