To find the integer that makes the addition sentence true, we start with the equation:
\[ -2 + x = 7 \]
To solve for \( x \), we can add 2 to both sides of the equation:
\[ x = 7 + 2 \]
\[ x = 9 \]
So the integer that makes the addition sentence true is:
\[ \boxed{9} \]