7-7(2x-8)=-6x-1

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Solution for 7-7(2x-8)=-6x-1 equation:


Simplifying
7 + -7(2x + -8) = -6x + -1

Reorder the terms:
7 + -7(-8 + 2x) = -6x + -1
7 + (-8 * -7 + 2x * -7) = -6x + -1
7 + (56 + -14x) = -6x + -1

Combine like terms: 7 + 56 = 63
63 + -14x = -6x + -1

Reorder the terms:
63 + -14x = -1 + -6x

Solving
63 + -14x = -1 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
63 + -14x + 6x = -1 + -6x + 6x

Combine like terms: -14x + 6x = -8x
63 + -8x = -1 + -6x + 6x

Combine like terms: -6x + 6x = 0
63 + -8x = -1 + 0
63 + -8x = -1

Add '-63' to each side of the equation.
63 + -63 + -8x = -1 + -63

Combine like terms: 63 + -63 = 0
0 + -8x = -1 + -63
-8x = -1 + -63

Combine like terms: -1 + -63 = -64
-8x = -64

Divide each side by '-8'.
x = 8

Simplifying
x = 8

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