To evaluate the expression [tex]\(5 + (-4) + (-7) + 2\)[/tex]:
1. Start with the first two numbers:
[tex]\[
5 + (-4)
\][/tex]
Adding -4 to 5:
[tex]\[
5 - 4 = 1
\][/tex]
2. Now, take the result from step 1 and add the next number, -7:
[tex]\[
1 + (-7)
\][/tex]
Adding -7 to 1:
[tex]\[
1 - 7 = -6
\][/tex]
3. Finally, add the last number, 2, to the result from step 2:
[tex]\[
-6 + 2
\][/tex]
Adding 2 to -6:
[tex]\[
-6 + 2 = -4
\][/tex]
Hence, the evaluated result for the expression [tex]\(5 + (-4) + (-7) + 2\)[/tex] is:
[tex]\[
\boxed{-4}
\][/tex]
