Question

solve for $x$: $-2(-x + 1) + 2x - 4 = 34$

Explanation:

Step1: Expand the parentheses

$-2(-x + 1) = 2x - 2$, so the equation becomes:
$2x - 2 + 2x - 4 = 34$

Step2: Combine like terms

Combine $2x + 2x = 4x$, and $-2 - 4 = -6$:
$4x - 6 = 34$

Step3: Isolate the term with $x$

Add 6 to both sides:
$4x = 34 + 6$
$4x = 40$

Step4: Solve for $x$

Divide both sides by 4:
$x = \frac{40}{4}$

Answer:

$x = 10$