To simplify the expression \([15 + (-5)] + 62\), we first focus on simplifying the expression inside the brackets, as this is the first step according to the order of operations (parentheses first).
The expression inside the brackets is \(15 + (-5)\).
Calculating this:
\[ 15 + (-5) = 15 - 5 = 10 \]
After this simplification, the expression becomes:
\[ 10 + 62 \]
So the first simplification that takes place is \(15 + (-5) = 10\).