282=-7x-8(6x+6)

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Solution for 282=-7x-8(6x+6) equation:


Simplifying
282 = -7x + -8(6x + 6)

Reorder the terms:
282 = -7x + -8(6 + 6x)
282 = -7x + (6 * -8 + 6x * -8)
282 = -7x + (-48 + -48x)

Reorder the terms:
282 = -48 + -7x + -48x

Combine like terms: -7x + -48x = -55x
282 = -48 + -55x

Solving
282 = -48 + -55x

Solving for variable 'x'.

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

Add '55x' to each side of the equation.
282 + 55x = -48 + -55x + 55x

Combine like terms: -55x + 55x = 0
282 + 55x = -48 + 0
282 + 55x = -48

Add '-282' to each side of the equation.
282 + -282 + 55x = -48 + -282

Combine like terms: 282 + -282 = 0
0 + 55x = -48 + -282
55x = -48 + -282

Combine like terms: -48 + -282 = -330
55x = -330

Divide each side by '55'.
x = -6

Simplifying
x = -6

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