To solve this equation, we need to simplify both sides by combining like terms and then isolate the variable x.

Starting with the left side of the equation:

1 - (7x + 1 - 1 - 7x + 3) = 2x - 8
1 - (7x + 3) = 2x - 8
1 - 7x - 3 = 2x - 8
-7x - 2 = 2x - 8
-2 = 9x - 8

Now, add 2 to both sides:

-2 + 2 = 9x - 8 + 2
0 = 9x - 6

Finally, add 6 to both sides:

0 + 6 = 9x - 6 + 6
6 = 9x

Divide both sides by 9 to solve for x:

x = 6/9
x = 2/3

Therefore, the solution to the equation is x = 2/3.