-31=-7x-6(-3x-4)

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Solution for -31=-7x-6(-3x-4) equation:


Simplifying
-31 = -7x + -6(-3x + -4)

Reorder the terms:
-31 = -7x + -6(-4 + -3x)
-31 = -7x + (-4 * -6 + -3x * -6)
-31 = -7x + (24 + 18x)

Reorder the terms:
-31 = 24 + -7x + 18x

Combine like terms: -7x + 18x = 11x
-31 = 24 + 11x

Solving
-31 = 24 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-31 + -11x = 24 + 11x + -11x

Combine like terms: 11x + -11x = 0
-31 + -11x = 24 + 0
-31 + -11x = 24

Add '31' to each side of the equation.
-31 + 31 + -11x = 24 + 31

Combine like terms: -31 + 31 = 0
0 + -11x = 24 + 31
-11x = 24 + 31

Combine like terms: 24 + 31 = 55
-11x = 55

Divide each side by '-11'.
x = -5

Simplifying
x = -5

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