-2(17x-6)+7(5x-5)-7=7-6

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Solution for -2(17x-6)+7(5x-5)-7=7-6 equation: 


Simplifying
-2(17x + -6) + 7(5x + -5) + -7 = 7 + -6

Reorder the terms:
-2(-6 + 17x) + 7(5x + -5) + -7 = 7 + -6
(-6 * -2 + 17x * -2) + 7(5x + -5) + -7 = 7 + -6
(12 + -34x) + 7(5x + -5) + -7 = 7 + -6

Reorder the terms:
12 + -34x + 7(-5 + 5x) + -7 = 7 + -6
12 + -34x + (-5 * 7 + 5x * 7) + -7 = 7 + -6
12 + -34x + (-35 + 35x) + -7 = 7 + -6

Reorder the terms:
12 + -35 + -7 + -34x + 35x = 7 + -6

Combine like terms: 12 + -35 = -23
-23 + -7 + -34x + 35x = 7 + -6

Combine like terms: -23 + -7 = -30
-30 + -34x + 35x = 7 + -6

Combine like terms: -34x + 35x = 1x
-30 + 1x = 7 + -6

Combine like terms: 7 + -6 = 1
-30 + 1x = 1

Solving
-30 + 1x = 1

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 1x = 1 + 30

Combine like terms: -30 + 30 = 0
0 + 1x = 1 + 30
1x = 1 + 30

Combine like terms: 1 + 30 = 31
1x = 31

Divide each side by '1'.
x = 31

Simplifying
x = 31

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