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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]