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

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


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

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

Solving
7 + -7x = 1 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
7 + -7x + 6x = 1 + -6x + 6x

Combine like terms: -7x + 6x = -1x
7 + -1x = 1 + -6x + 6x

Combine like terms: -6x + 6x = 0
7 + -1x = 1 + 0
7 + -1x = 1

Add '-7' to each side of the equation.
7 + -7 + -1x = 1 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 1 + -7
-1x = 1 + -7

Combine like terms: 1 + -7 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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