6(1+7x)+7(3x-1)=-64

Solution for 6(1+7x)+7(3x-1)=-64 equation:

Simplifying
6(1 + 7x) + 7(3x + -1) = -64
(1 * 6 + 7x * 6) + 7(3x + -1) = -64
(6 + 42x) + 7(3x + -1) = -64

Reorder the terms:
6 + 42x + 7(-1 + 3x) = -64
6 + 42x + (-1 * 7 + 3x * 7) = -64
6 + 42x + (-7 + 21x) = -64

Reorder the terms:
6 + -7 + 42x + 21x = -64

Combine like terms: 6 + -7 = -1
-1 + 42x + 21x = -64

Combine like terms: 42x + 21x = 63x
-1 + 63x = -64

Solving
-1 + 63x = -64

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 63x = -64 + 1

Combine like terms: -1 + 1 = 0
0 + 63x = -64 + 1
63x = -64 + 1

Combine like terms: -64 + 1 = -63
63x = -63

Divide each side by '63'.
x = -1

Simplifying
x = -1