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

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


Simplifying
(7x + 6) + -1(-1x + 1) = 0

Reorder the terms:
(6 + 7x) + -1(-1x + 1) = 0

Remove parenthesis around (6 + 7x)
6 + 7x + -1(-1x + 1) = 0

Reorder the terms:
6 + 7x + -1(1 + -1x) = 0
6 + 7x + (1 * -1 + -1x * -1) = 0
6 + 7x + (-1 + 1x) = 0

Reorder the terms:
6 + -1 + 7x + 1x = 0

Combine like terms: 6 + -1 = 5
5 + 7x + 1x = 0

Combine like terms: 7x + 1x = 8x
5 + 8x = 0

Solving
5 + 8x = 0

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 8x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = 0 + -5
8x = 0 + -5

Combine like terms: 0 + -5 = -5
8x = -5

Divide each side by '8'.
x = -0.625

Simplifying
x = -0.625

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