361=-7x-4[6x-36]

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Solution for 361=-7x-4[6x-36] equation: 


Simplifying
361 = -7x + -4[6x + -36]

Reorder the terms:
361 = -7x + -4[-36 + 6x]
361 = -7x + [-36 * -4 + 6x * -4]
361 = -7x + [144 + -24x]

Reorder the terms:
361 = 144 + -7x + -24x

Combine like terms: -7x + -24x = -31x
361 = 144 + -31x

Solving
361 = 144 + -31x

Solving for variable 'x'.

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

Add '31x' to each side of the equation.
361 + 31x = 144 + -31x + 31x

Combine like terms: -31x + 31x = 0
361 + 31x = 144 + 0
361 + 31x = 144

Add '-361' to each side of the equation.
361 + -361 + 31x = 144 + -361

Combine like terms: 361 + -361 = 0
0 + 31x = 144 + -361
31x = 144 + -361

Combine like terms: 144 + -361 = -217
31x = -217

Divide each side by '31'.
x = -7

Simplifying
x = -7

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