-7(-x-4)-8(x+7)=6x+1+1+3x

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Solution for -7(-x-4)-8(x+7)=6x+1+1+3x equation:


Simplifying
-7(-1x + -4) + -8(x + 7) = 6x + 1 + 1 + 3x

Reorder the terms:
-7(-4 + -1x) + -8(x + 7) = 6x + 1 + 1 + 3x
(-4 * -7 + -1x * -7) + -8(x + 7) = 6x + 1 + 1 + 3x
(28 + 7x) + -8(x + 7) = 6x + 1 + 1 + 3x

Reorder the terms:
28 + 7x + -8(7 + x) = 6x + 1 + 1 + 3x
28 + 7x + (7 * -8 + x * -8) = 6x + 1 + 1 + 3x
28 + 7x + (-56 + -8x) = 6x + 1 + 1 + 3x

Reorder the terms:
28 + -56 + 7x + -8x = 6x + 1 + 1 + 3x

Combine like terms: 28 + -56 = -28
-28 + 7x + -8x = 6x + 1 + 1 + 3x

Combine like terms: 7x + -8x = -1x
-28 + -1x = 6x + 1 + 1 + 3x

Reorder the terms:
-28 + -1x = 1 + 1 + 6x + 3x

Combine like terms: 1 + 1 = 2
-28 + -1x = 2 + 6x + 3x

Combine like terms: 6x + 3x = 9x
-28 + -1x = 2 + 9x

Solving
-28 + -1x = 2 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-28 + -1x + -9x = 2 + 9x + -9x

Combine like terms: -1x + -9x = -10x
-28 + -10x = 2 + 9x + -9x

Combine like terms: 9x + -9x = 0
-28 + -10x = 2 + 0
-28 + -10x = 2

Add '28' to each side of the equation.
-28 + 28 + -10x = 2 + 28

Combine like terms: -28 + 28 = 0
0 + -10x = 2 + 28
-10x = 2 + 28

Combine like terms: 2 + 28 = 30
-10x = 30

Divide each side by '-10'.
x = -3

Simplifying
x = -3

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