-8(7x+1)-x=-7(x-6)

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Solution for -8(7x+1)-x=-7(x-6) equation:


Simplifying
-8(7x + 1) + -1x = -7(x + -6)

Reorder the terms:
-8(1 + 7x) + -1x = -7(x + -6)
(1 * -8 + 7x * -8) + -1x = -7(x + -6)
(-8 + -56x) + -1x = -7(x + -6)

Combine like terms: -56x + -1x = -57x
-8 + -57x = -7(x + -6)

Reorder the terms:
-8 + -57x = -7(-6 + x)
-8 + -57x = (-6 * -7 + x * -7)
-8 + -57x = (42 + -7x)

Solving
-8 + -57x = 42 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-8 + -57x + 7x = 42 + -7x + 7x

Combine like terms: -57x + 7x = -50x
-8 + -50x = 42 + -7x + 7x

Combine like terms: -7x + 7x = 0
-8 + -50x = 42 + 0
-8 + -50x = 42

Add '8' to each side of the equation.
-8 + 8 + -50x = 42 + 8

Combine like terms: -8 + 8 = 0
0 + -50x = 42 + 8
-50x = 42 + 8

Combine like terms: 42 + 8 = 50
-50x = 50

Divide each side by '-50'.
x = -1

Simplifying
x = -1

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