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

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


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

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

Reorder the terms:
42 + 7x + -1(7 + x) = -1
42 + 7x + (7 * -1 + x * -1) = -1
42 + 7x + (-7 + -1x) = -1

Reorder the terms:
42 + -7 + 7x + -1x = -1

Combine like terms: 42 + -7 = 35
35 + 7x + -1x = -1

Combine like terms: 7x + -1x = 6x
35 + 6x = -1

Solving
35 + 6x = -1

Solving for variable 'x'.

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

Add '-35' to each side of the equation.
35 + -35 + 6x = -1 + -35

Combine like terms: 35 + -35 = 0
0 + 6x = -1 + -35
6x = -1 + -35

Combine like terms: -1 + -35 = -36
6x = -36

Divide each side by '6'.
x = -6

Simplifying
x = -6

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