x+7=-3x-1

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Solution for x+7=-3x-1 equation:


Simplifying
x + 7 = -3x + -1

Reorder the terms:
7 + x = -3x + -1

Reorder the terms:
7 + x = -1 + -3x

Solving
7 + x = -1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
7 + x + 3x = -1 + -3x + 3x

Combine like terms: x + 3x = 4x
7 + 4x = -1 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 4x = -1 + 0
7 + 4x = -1

Add '-7' to each side of the equation.
7 + -7 + 4x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = -1 + -7
4x = -1 + -7

Combine like terms: -1 + -7 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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