To simplify the expression \( 1 + (x + 2) \), you can remove the parentheses and combine the like terms:
\[ 1 + (x + 2) = 1 + x + 2 \]
Now combine the constants \( 1 \) and \( 2 \):
\[ 1 + 2 = 3 \]
So, the expression simplifies to:
\[ x + 3 \]
Therefore, the simplified expression is:
\[ x + 3 \]