(X+7)(x+1)=(x+1)

Solution for (X+7)(x+1)=(x+1) equation:

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

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

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

Multiply (7 + X) * (1 + x)
(7(1 + x) + X(1 + x)) = (x + 1)
((1 * 7 + x * 7) + X(1 + x)) = (x + 1)
((7 + 7x) + X(1 + x)) = (x + 1)
(7 + 7x + (1 * X + x * X)) = (x + 1)
(7 + 7x + (1X + xX)) = (x + 1)

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

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

Remove parenthesis around (1 + x)
7 + 1X + 7x + xX = 1 + x

Solving
7 + 1X + 7x + xX = 1 + x

Solving for variable 'X'.

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.