-7(x-7)=7x-7

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


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

Reorder the terms:
-7(-7 + x) = 7x + -7
(-7 * -7 + x * -7) = 7x + -7
(49 + -7x) = 7x + -7

Reorder the terms:
49 + -7x = -7 + 7x

Solving
49 + -7x = -7 + 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.
49 + -7x + -7x = -7 + 7x + -7x

Combine like terms: -7x + -7x = -14x
49 + -14x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
49 + -14x = -7 + 0
49 + -14x = -7

Add '-49' to each side of the equation.
49 + -49 + -14x = -7 + -49

Combine like terms: 49 + -49 = 0
0 + -14x = -7 + -49
-14x = -7 + -49

Combine like terms: -7 + -49 = -56
-14x = -56

Divide each side by '-14'.
x = 4

Simplifying
x = 4

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