9[8+10(8-x)+7x]=11-7x

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Solution for 9[8+10(8-x)+7x]=11-7x equation: 


Simplifying
9[8 + 10(8 + -1x) + 7x] = 11 + -7x
9[8 + (8 * 10 + -1x * 10) + 7x] = 11 + -7x
9[8 + (80 + -10x) + 7x] = 11 + -7x

Combine like terms: 8 + 80 = 88
9[88 + -10x + 7x] = 11 + -7x

Combine like terms: -10x + 7x = -3x
9[88 + -3x] = 11 + -7x
[88 * 9 + -3x * 9] = 11 + -7x
[792 + -27x] = 11 + -7x

Solving
792 + -27x = 11 + -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.
792 + -27x + 7x = 11 + -7x + 7x

Combine like terms: -27x + 7x = -20x
792 + -20x = 11 + -7x + 7x

Combine like terms: -7x + 7x = 0
792 + -20x = 11 + 0
792 + -20x = 11

Add '-792' to each side of the equation.
792 + -792 + -20x = 11 + -792

Combine like terms: 792 + -792 = 0
0 + -20x = 11 + -792
-20x = 11 + -792

Combine like terms: 11 + -792 = -781
-20x = -781

Divide each side by '-20'.
x = 39.05

Simplifying
x = 39.05

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