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Simplify the expression:

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

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

Sagot :

GinnyAnsweridn
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]
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