27(13+-18x)+-54(18+-9x)+388+-1(-222+-1x)=2(x+-11)

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Solution for 27(13+-18x)+-54(18+-9x)+388+-1(-222+-1x)=2(x+-11) equation:


Simplifying
27(13 + -18x) + -54(18 + -9x) + 388 + -1(-222 + -1x) = 2(x + -11)
(13 * 27 + -18x * 27) + -54(18 + -9x) + 388 + -1(-222 + -1x) = 2(x + -11)
(351 + -486x) + -54(18 + -9x) + 388 + -1(-222 + -1x) = 2(x + -11)
351 + -486x + (18 * -54 + -9x * -54) + 388 + -1(-222 + -1x) = 2(x + -11)
351 + -486x + (-972 + 486x) + 388 + -1(-222 + -1x) = 2(x + -11)
351 + -486x + -972 + 486x + 388 + (-222 * -1 + -1x * -1) = 2(x + -11)
351 + -486x + -972 + 486x + 388 + (222 + 1x) = 2(x + -11)

Reorder the terms:
351 + -972 + 388 + 222 + -486x + 486x + 1x = 2(x + -11)

Combine like terms: 351 + -972 = -621
-621 + 388 + 222 + -486x + 486x + 1x = 2(x + -11)

Combine like terms: -621 + 388 = -233
-233 + 222 + -486x + 486x + 1x = 2(x + -11)

Combine like terms: -233 + 222 = -11
-11 + -486x + 486x + 1x = 2(x + -11)

Combine like terms: -486x + 486x = 0
-11 + 0 + 1x = 2(x + -11)
-11 + 1x = 2(x + -11)

Reorder the terms:
-11 + 1x = 2(-11 + x)
-11 + 1x = (-11 * 2 + x * 2)
-11 + 1x = (-22 + 2x)

Solving
-11 + 1x = -22 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-11 + 1x + -2x = -22 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-11 + -1x = -22 + 2x + -2x

Combine like terms: 2x + -2x = 0
-11 + -1x = -22 + 0
-11 + -1x = -22

Add '11' to each side of the equation.
-11 + 11 + -1x = -22 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = -22 + 11
-1x = -22 + 11

Combine like terms: -22 + 11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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