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

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


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

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

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

Combine like terms: 42 + 1 = 43
43 + -6x = x + -1(x + -7)

Reorder the terms:
43 + -6x = x + -1(-7 + x)
43 + -6x = x + (-7 * -1 + x * -1)
43 + -6x = x + (7 + -1x)

Reorder the terms:
43 + -6x = 7 + x + -1x

Combine like terms: x + -1x = 0
43 + -6x = 7 + 0
43 + -6x = 7

Solving
43 + -6x = 7

Solving for variable 'x'.

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

Add '-43' to each side of the equation.
43 + -43 + -6x = 7 + -43

Combine like terms: 43 + -43 = 0
0 + -6x = 7 + -43
-6x = 7 + -43

Combine like terms: 7 + -43 = -36
-6x = -36

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

Simplifying
x = 6

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