To solve the expression [tex]\(5 + (-7)\)[/tex], we need to add the integer 5 to the integer [tex]\(-7\)[/tex].
1. Start with the number 5.
2. Adding a negative number is the same as subtracting its absolute value. Therefore, we can rewrite [tex]\(5 + (-7)\)[/tex] as [tex]\(5 - 7\)[/tex].
3. Now, perform the subtraction: [tex]\(5 - 7 = -2\)[/tex].
Thus, the correct answer is [tex]\(-2\)[/tex].