Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Simplify the expression.

[tex]\[ 4(-8x + 5) - (-33x - 26) = \][/tex]

[tex]\[ \square \][/tex]

Sagot :

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]