(X+6)*(x-7)=-x+7

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


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

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

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

Multiply (6 + X) * (-7 + x)
(6(-7 + x) + X(-7 + x)) = -1x + 7
((-7 * 6 + x * 6) + X(-7 + x)) = -1x + 7
((-42 + 6x) + X(-7 + x)) = -1x + 7
(-42 + 6x + (-7 * X + x * X)) = -1x + 7
(-42 + 6x + (-7X + xX)) = -1x + 7

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

Reorder the terms:
-42 + -7X + 6x + xX = 7 + -1x

Solving
-42 + -7X + 6x + xX = 7 + -1x

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 + -7X + 6x + 42 + xX = 7 + 42 + -1x

Reorder the terms:
-42 + 42 + -7X + 6x + xX = 7 + 42 + -1x

Combine like terms: -42 + 42 = 0
0 + -7X + 6x + xX = 7 + 42 + -1x
-7X + 6x + xX = 7 + 42 + -1x

Combine like terms: 7 + 42 = 49
-7X + 6x + xX = 49 + -1x

Add '-6x' to each side of the equation.
-7X + 6x + -6x + xX = 49 + -1x + -6x

Combine like terms: 6x + -6x = 0
-7X + 0 + xX = 49 + -1x + -6x
-7X + xX = 49 + -1x + -6x

Combine like terms: -1x + -6x = -7x
-7X + xX = 49 + -7x

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

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

Combine like terms: 49 + -49 = 0
-49 + -7X + 7x + xX = 0 + -7x + 7x
-49 + -7X + 7x + xX = -7x + 7x

Combine like terms: -7x + 7x = 0
-49 + -7X + 7x + xX = 0

The solution to this equation could not be determined.

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