To solve the first equation, we can start by simplifying both sides of the equation:

-7/13 - (x - 4/3) = -17/26

First, let's simplify the expression inside the parentheses:

-7/13 - x + 4/3 = -17/26

Next, let's find a common denominator for the fractions:

The common denominator for 13 and 3 is 39, so we can rewrite the equation as:

(-7/13) - (39/39)x + (4/3) = -17/26

Now, let's combine like terms:

(-7/13) - (39/39)x + (4/3) = -17/26

-7/13 - (39/39)x + (52/39) = -17/26

Next, let's combine the fractions:

(-7 - 39x + 52)/39 = -17/26

Now, let's cross-multiply:

26(-7 - 39x + 52) = 39(-17)

-182 - 1014x + 1352 = -663

Next, let's simplify the equation:

-1014x + 170 = -663

Now, let's isolate the variable:

-1014x = -663 - 170

-1014x = -833

Finally, let's solve for x:

x = -833 / -1014

x ≈ 0.820

Therefore, the solution to the first equation is x ≈ 0.820.

Now, let's solve the second equation:

1 - (-x + 9/5) = -12/15

First, let's simplify the expression inside the parentheses:

1 + x - 9/5 = -12/15

Next, let's find a common denominator for the fractions:

The common denominator for 5 and 15 is 15, so we can rewrite the equation as:

15/15 + 15x/15 - 9/5 = -12/15

Now, let's combine like terms:

15/15 + 15x/15 - 9/5 = -12/15

15/15 + x - 9/5 = -12/15

Next, let's combine the fractions:

(15 + 15x - 27)/15 = -12/15

Now, let's cross-multiply:

15(15 + 15x - 27) = 15(-12)

225 + 225x - 405 = -180

Next, let's simplify the equation:

225x - 180 = -405 - 225

225x - 180 = -630

Now, let's isolate the variable:

225x = -630 + 180

225x = -450

Finally, let's solve for x:

x = -450 / 225

x = -2

Therefore, the solution to the second equation is x = -2.