-1+6(7x+6)=(4x-4)+7

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Solution for -1+6(7x+6)=(4x-4)+7 equation:


Simplifying
-1 + 6(7x + 6) = (4x + -4) + 7

Reorder the terms:
-1 + 6(6 + 7x) = (4x + -4) + 7
-1 + (6 * 6 + 7x * 6) = (4x + -4) + 7
-1 + (36 + 42x) = (4x + -4) + 7

Combine like terms: -1 + 36 = 35
35 + 42x = (4x + -4) + 7

Reorder the terms:
35 + 42x = (-4 + 4x) + 7

Remove parenthesis around (-4 + 4x)
35 + 42x = -4 + 4x + 7

Reorder the terms:
35 + 42x = -4 + 7 + 4x

Combine like terms: -4 + 7 = 3
35 + 42x = 3 + 4x

Solving
35 + 42x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
35 + 42x + -4x = 3 + 4x + -4x

Combine like terms: 42x + -4x = 38x
35 + 38x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
35 + 38x = 3 + 0
35 + 38x = 3

Add '-35' to each side of the equation.
35 + -35 + 38x = 3 + -35

Combine like terms: 35 + -35 = 0
0 + 38x = 3 + -35
38x = 3 + -35

Combine like terms: 3 + -35 = -32
38x = -32

Divide each side by '38'.
x = -0.8421052632

Simplifying
x = -0.8421052632

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