To simplify the expression [tex]\( 4(-8x + 5) - (-33x - 26) \)[/tex], we follow these steps:
1. Distribute the 4 through the first parenthesis:
[tex]\[
4(-8x) + 4(5) = -32x + 20
\][/tex]
2. Distribute the negative sign through the second parenthesis:
[tex]\[
-(-33x) - (-26) = 33x + 26
\][/tex]
3. Combine the simplified terms:
[tex]\[
-32x + 20 + 33x + 26
\][/tex]
4. Combine like terms (terms involving [tex]\(x\)[/tex] and constant terms):
[tex]\[
(-32x + 33x) + (20 + 26) = x + 46
\][/tex]
So, the simplified expression is:
[tex]\[
x + 46
\][/tex]
