x+6=-6x-1

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Solution for x+6=-6x-1 equation:


Simplifying
x + 6 = -6x + -1

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

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

Solving
6 + x = -1 + -6x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '7'.
x = -1

Simplifying
x = -1

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