-7-7(x-7)-6(9-7x)=34(x-1)+5

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Solution for -7-7(x-7)-6(9-7x)=34(x-1)+5 equation: 


Simplifying
-7 + -7(x + -7) + -6(9 + -7x) = 34(x + -1) + 5

Reorder the terms:
-7 + -7(-7 + x) + -6(9 + -7x) = 34(x + -1) + 5
-7 + (-7 * -7 + x * -7) + -6(9 + -7x) = 34(x + -1) + 5
-7 + (49 + -7x) + -6(9 + -7x) = 34(x + -1) + 5
-7 + 49 + -7x + (9 * -6 + -7x * -6) = 34(x + -1) + 5
-7 + 49 + -7x + (-54 + 42x) = 34(x + -1) + 5

Reorder the terms:
-7 + 49 + -54 + -7x + 42x = 34(x + -1) + 5

Combine like terms: -7 + 49 = 42
42 + -54 + -7x + 42x = 34(x + -1) + 5

Combine like terms: 42 + -54 = -12
-12 + -7x + 42x = 34(x + -1) + 5

Combine like terms: -7x + 42x = 35x
-12 + 35x = 34(x + -1) + 5

Reorder the terms:
-12 + 35x = 34(-1 + x) + 5
-12 + 35x = (-1 * 34 + x * 34) + 5
-12 + 35x = (-34 + 34x) + 5

Reorder the terms:
-12 + 35x = -34 + 5 + 34x

Combine like terms: -34 + 5 = -29
-12 + 35x = -29 + 34x

Solving
-12 + 35x = -29 + 34x

Solving for variable 'x'.

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

Add '-34x' to each side of the equation.
-12 + 35x + -34x = -29 + 34x + -34x

Combine like terms: 35x + -34x = 1x
-12 + 1x = -29 + 34x + -34x

Combine like terms: 34x + -34x = 0
-12 + 1x = -29 + 0
-12 + 1x = -29

Add '12' to each side of the equation.
-12 + 12 + 1x = -29 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = -29 + 12
1x = -29 + 12

Combine like terms: -29 + 12 = -17
1x = -17

Divide each side by '1'.
x = -17

Simplifying
x = -17

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