7(x-6)=-7

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


Simplifying
7(x + -6) = -7

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

Solving
-42 + 7x = -7

Solving for variable 'x'.

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

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

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

Combine like terms: -7 + 42 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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