To solve the equation and determine the value of $x$, we need to simplify step by step.

The equation is:

$-5x - (-7 - 4x) = -2(3x - 4)$

Step 1: Simplify the terms

Expand the parentheses:

$-5x + 7 + 4x = -6x + 8$

Combine like terms on the left-hand side:

$(-5x + 4x) + 7 = -6x + 8$ $-x + 7 = -6x + 8$

Step 2: Rearrange to isolate $x$

Add $6x$ to both sides to bring all $x$-terms to one side:

$- x + 6x + 7 = 8$ $5x + 7 = 8$

Subtract 7 from both sides:

$5x = 1$

Divide by 5:

$x = \frac{1}{5}$

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Final Answer:

The value of $x$ is not a clean value listed in the options, so this question seems invalid