11(6+11x)=3(9x-8)-4

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Solution for 11(6+11x)=3(9x-8)-4 equation: 


Simplifying
11(6 + 11x) = 3(9x + -8) + -4
(6 * 11 + 11x * 11) = 3(9x + -8) + -4
(66 + 121x) = 3(9x + -8) + -4

Reorder the terms:
66 + 121x = 3(-8 + 9x) + -4
66 + 121x = (-8 * 3 + 9x * 3) + -4
66 + 121x = (-24 + 27x) + -4

Reorder the terms:
66 + 121x = -24 + -4 + 27x

Combine like terms: -24 + -4 = -28
66 + 121x = -28 + 27x

Solving
66 + 121x = -28 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
66 + 121x + -27x = -28 + 27x + -27x

Combine like terms: 121x + -27x = 94x
66 + 94x = -28 + 27x + -27x

Combine like terms: 27x + -27x = 0
66 + 94x = -28 + 0
66 + 94x = -28

Add '-66' to each side of the equation.
66 + -66 + 94x = -28 + -66

Combine like terms: 66 + -66 = 0
0 + 94x = -28 + -66
94x = -28 + -66

Combine like terms: -28 + -66 = -94
94x = -94

Divide each side by '94'.
x = -1

Simplifying
x = -1

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