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