7(-2x-1)=63+6(-x-5)

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Solution for 7(-2x-1)=63+6(-x-5) equation:


Simplifying
7(-2x + -1) = 63 + 6(-1x + -5)

Reorder the terms:
7(-1 + -2x) = 63 + 6(-1x + -5)
(-1 * 7 + -2x * 7) = 63 + 6(-1x + -5)
(-7 + -14x) = 63 + 6(-1x + -5)

Reorder the terms:
-7 + -14x = 63 + 6(-5 + -1x)
-7 + -14x = 63 + (-5 * 6 + -1x * 6)
-7 + -14x = 63 + (-30 + -6x)

Combine like terms: 63 + -30 = 33
-7 + -14x = 33 + -6x

Solving
-7 + -14x = 33 + -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.
-7 + -14x + 6x = 33 + -6x + 6x

Combine like terms: -14x + 6x = -8x
-7 + -8x = 33 + -6x + 6x

Combine like terms: -6x + 6x = 0
-7 + -8x = 33 + 0
-7 + -8x = 33

Add '7' to each side of the equation.
-7 + 7 + -8x = 33 + 7

Combine like terms: -7 + 7 = 0
0 + -8x = 33 + 7
-8x = 33 + 7

Combine like terms: 33 + 7 = 40
-8x = 40

Divide each side by '-8'.
x = -5

Simplifying
x = -5

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