7x+1=-6x-38

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Solution for 7x+1=-6x-38 equation:


Simplifying
7x + 1 = -6x + -38

Reorder the terms:
1 + 7x = -6x + -38

Reorder the terms:
1 + 7x = -38 + -6x

Solving
1 + 7x = -38 + -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.
1 + 7x + 6x = -38 + -6x + 6x

Combine like terms: 7x + 6x = 13x
1 + 13x = -38 + -6x + 6x

Combine like terms: -6x + 6x = 0
1 + 13x = -38 + 0
1 + 13x = -38

Add '-1' to each side of the equation.
1 + -1 + 13x = -38 + -1

Combine like terms: 1 + -1 = 0
0 + 13x = -38 + -1
13x = -38 + -1

Combine like terms: -38 + -1 = -39
13x = -39

Divide each side by '13'.
x = -3

Simplifying
x = -3

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