-2(1+7x)+6(7+x)=4-4x

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Solution for -2(1+7x)+6(7+x)=4-4x equation:


Simplifying
-2(1 + 7x) + 6(7 + x) = 4 + -4x
(1 * -2 + 7x * -2) + 6(7 + x) = 4 + -4x
(-2 + -14x) + 6(7 + x) = 4 + -4x
-2 + -14x + (7 * 6 + x * 6) = 4 + -4x
-2 + -14x + (42 + 6x) = 4 + -4x

Reorder the terms:
-2 + 42 + -14x + 6x = 4 + -4x

Combine like terms: -2 + 42 = 40
40 + -14x + 6x = 4 + -4x

Combine like terms: -14x + 6x = -8x
40 + -8x = 4 + -4x

Solving
40 + -8x = 4 + -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.
40 + -8x + 4x = 4 + -4x + 4x

Combine like terms: -8x + 4x = -4x
40 + -4x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
40 + -4x = 4 + 0
40 + -4x = 4

Add '-40' to each side of the equation.
40 + -40 + -4x = 4 + -40

Combine like terms: 40 + -40 = 0
0 + -4x = 4 + -40
-4x = 4 + -40

Combine like terms: 4 + -40 = -36
-4x = -36

Divide each side by '-4'.
x = 9

Simplifying
x = 9

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