-(1-7x)+7(1+6x)=-43

Solution for -(1-7x)+7(1+6x)=-43 equation:

Simplifying
-1(1 + -7x) + 7(1 + 6x) = -43
(1 * -1 + -7x * -1) + 7(1 + 6x) = -43
(-1 + 7x) + 7(1 + 6x) = -43
-1 + 7x + (1 * 7 + 6x * 7) = -43
-1 + 7x + (7 + 42x) = -43

Reorder the terms:
-1 + 7 + 7x + 42x = -43

Combine like terms: -1 + 7 = 6
6 + 7x + 42x = -43

Combine like terms: 7x + 42x = 49x
6 + 49x = -43

Solving
6 + 49x = -43

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 49x = -43 + -6

Combine like terms: 6 + -6 = 0
0 + 49x = -43 + -6
49x = -43 + -6

Combine like terms: -43 + -6 = -49
49x = -49

Divide each side by '49'.
x = -1

Simplifying
x = -1