7(-6x+7)+6x=-35-8x

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Solution for 7(-6x+7)+6x=-35-8x equation: 


Simplifying
7(-6x + 7) + 6x = -35 + -8x

Reorder the terms:
7(7 + -6x) + 6x = -35 + -8x
(7 * 7 + -6x * 7) + 6x = -35 + -8x
(49 + -42x) + 6x = -35 + -8x

Combine like terms: -42x + 6x = -36x
49 + -36x = -35 + -8x

Solving
49 + -36x = -35 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
49 + -36x + 8x = -35 + -8x + 8x

Combine like terms: -36x + 8x = -28x
49 + -28x = -35 + -8x + 8x

Combine like terms: -8x + 8x = 0
49 + -28x = -35 + 0
49 + -28x = -35

Add '-49' to each side of the equation.
49 + -49 + -28x = -35 + -49

Combine like terms: 49 + -49 = 0
0 + -28x = -35 + -49
-28x = -35 + -49

Combine like terms: -35 + -49 = -84
-28x = -84

Divide each side by '-28'.
x = 3

Simplifying
x = 3

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