$-2(3x - 4)-4x + 1=-41$

Explanation:

Step1: Expand the expression

$-2(3x - 4)=-6x + 8$, so the equation becomes $-6x + 8-4x + 1=-41$.

Step2: Combine like - terms

Combine the $x$ terms and the constant terms: $(-6x-4x)+(8 + 1)=-41$, which simplifies to $-10x+9=-41$.

Step3: Isolate the term with $x$

Subtract 9 from both sides: $-10x+9 - 9=-41 - 9$, resulting in $-10x=-50$.

Step4: Solve for $x$

Divide both sides by - 10: $\frac{-10x}{-10}=\frac{-50}{-10}$, so $x = 5$.

Answer:

$x = 5$