Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.
simplify the expression.
4(-8x + 5) - (-33x - 26) =
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Explanation:

Step1: Distribute the 4 and the negative sign

First, distribute the 4 into the parentheses \(4(-8x + 5)\) and distribute the negative sign into \(-(-33x - 26)\).
For \(4(-8x + 5)\), we get \(4\times(-8x)+4\times5=-32x + 20\).
For \(-(-33x - 26)\), we know that \(-1\times(-33x)=33x\) and \(-1\times(-26)=26\), so this becomes \(33x + 26\).

Step2: Combine like terms

Now we have the expression \(-32x + 20+33x + 26\).
Combine the \(x\)-terms: \(-32x+33x = x\).
Combine the constant terms: \(20 + 26=46\).

Answer:

\(x + 46\)