Answer :
Sure, let's simplify the given expression step-by-step:
The expression is:
[tex]\[ 4(-8 x + 5) - (-33 x - 26) \][/tex]
1. Distribute the 4 inside the first parentheses:
[tex]\[ 4 \cdot (-8 x) + 4 \cdot 5 \][/tex]
This simplifies to:
[tex]\[ -32 x + 20 \][/tex]
2. Distribute the negative sign inside the second parentheses:
[tex]\[ -(-33 x) - (-26) \][/tex]
This simplifies to:
[tex]\[ 33 x + 26 \][/tex]
3. Now, combine the results from steps 1 and 2:
[tex]\[ -32 x + 20 + 33 x + 26 \][/tex]
4. Combine like terms. First, let's combine the [tex]\(x\)[/tex] terms:
[tex]\[ -32 x + 33 x = x \][/tex]
5. Then, combine the constant terms:
[tex]\[ 20 + 26 = 46 \][/tex]
So, the simplified expression is:
[tex]\[ x + 46 \][/tex]
Therefore, the answer is:
[tex]\[ \boxed{x + 46} \][/tex]
The expression is:
[tex]\[ 4(-8 x + 5) - (-33 x - 26) \][/tex]
1. Distribute the 4 inside the first parentheses:
[tex]\[ 4 \cdot (-8 x) + 4 \cdot 5 \][/tex]
This simplifies to:
[tex]\[ -32 x + 20 \][/tex]
2. Distribute the negative sign inside the second parentheses:
[tex]\[ -(-33 x) - (-26) \][/tex]
This simplifies to:
[tex]\[ 33 x + 26 \][/tex]
3. Now, combine the results from steps 1 and 2:
[tex]\[ -32 x + 20 + 33 x + 26 \][/tex]
4. Combine like terms. First, let's combine the [tex]\(x\)[/tex] terms:
[tex]\[ -32 x + 33 x = x \][/tex]
5. Then, combine the constant terms:
[tex]\[ 20 + 26 = 46 \][/tex]
So, the simplified expression is:
[tex]\[ x + 46 \][/tex]
Therefore, the answer is:
[tex]\[ \boxed{x + 46} \][/tex]
