6+4(-7x-1)=4(3x+7)+6

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Solution for 6+4(-7x-1)=4(3x+7)+6 equation: 


Simplifying
6 + 4(-7x + -1) = 4(3x + 7) + 6

Reorder the terms:
6 + 4(-1 + -7x) = 4(3x + 7) + 6
6 + (-1 * 4 + -7x * 4) = 4(3x + 7) + 6
6 + (-4 + -28x) = 4(3x + 7) + 6

Combine like terms: 6 + -4 = 2
2 + -28x = 4(3x + 7) + 6

Reorder the terms:
2 + -28x = 4(7 + 3x) + 6
2 + -28x = (7 * 4 + 3x * 4) + 6
2 + -28x = (28 + 12x) + 6

Reorder the terms:
2 + -28x = 28 + 6 + 12x

Combine like terms: 28 + 6 = 34
2 + -28x = 34 + 12x

Solving
2 + -28x = 34 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
2 + -28x + -12x = 34 + 12x + -12x

Combine like terms: -28x + -12x = -40x
2 + -40x = 34 + 12x + -12x

Combine like terms: 12x + -12x = 0
2 + -40x = 34 + 0
2 + -40x = 34

Add '-2' to each side of the equation.
2 + -2 + -40x = 34 + -2

Combine like terms: 2 + -2 = 0
0 + -40x = 34 + -2
-40x = 34 + -2

Combine like terms: 34 + -2 = 32
-40x = 32

Divide each side by '-40'.
x = -0.8

Simplifying
x = -0.8

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