-6(x+7)+9=(-7x+7)

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Solution for -6(x+7)+9=(-7x+7) equation:


Simplifying
-6(x + 7) + 9 = (-7x + 7)

Reorder the terms:
-6(7 + x) + 9 = (-7x + 7)
(7 * -6 + x * -6) + 9 = (-7x + 7)
(-42 + -6x) + 9 = (-7x + 7)

Reorder the terms:
-42 + 9 + -6x = (-7x + 7)

Combine like terms: -42 + 9 = -33
-33 + -6x = (-7x + 7)

Reorder the terms:
-33 + -6x = (7 + -7x)

Remove parenthesis around (7 + -7x)
-33 + -6x = 7 + -7x

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

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-33 + -6x + 7x = 7 + -7x + 7x

Combine like terms: -6x + 7x = 1x
-33 + 1x = 7 + -7x + 7x

Combine like terms: -7x + 7x = 0
-33 + 1x = 7 + 0
-33 + 1x = 7

Add '33' to each side of the equation.
-33 + 33 + 1x = 7 + 33

Combine like terms: -33 + 33 = 0
0 + 1x = 7 + 33
1x = 7 + 33

Combine like terms: 7 + 33 = 40
1x = 40

Divide each side by '1'.
x = 40

Simplifying
x = 40

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