32(9-3.5x)=11(3x-11)+61.0

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Solution for 32(9-3.5x)=11(3x-11)+61.0 equation: 


Simplifying
32(9 + -3.5x) = 11(3x + -11) + 61.0
(9 * 32 + -3.5x * 32) = 11(3x + -11) + 61.0
(288 + -112x) = 11(3x + -11) + 61.0

Reorder the terms:
288 + -112x = 11(-11 + 3x) + 61.0
288 + -112x = (-11 * 11 + 3x * 11) + 61.0
288 + -112x = (-121 + 33x) + 61.0

Reorder the terms:
288 + -112x = -121 + 61.0 + 33x

Combine like terms: -121 + 61.0 = -60
288 + -112x = -60 + 33x

Solving
288 + -112x = -60 + 33x

Solving for variable 'x'.

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

Add '-33x' to each side of the equation.
288 + -112x + -33x = -60 + 33x + -33x

Combine like terms: -112x + -33x = -145x
288 + -145x = -60 + 33x + -33x

Combine like terms: 33x + -33x = 0
288 + -145x = -60 + 0
288 + -145x = -60

Add '-288' to each side of the equation.
288 + -288 + -145x = -60 + -288

Combine like terms: 288 + -288 = 0
0 + -145x = -60 + -288
-145x = -60 + -288

Combine like terms: -60 + -288 = -348
-145x = -348

Divide each side by '-145'.
x = 2.4

Simplifying
x = 2.4

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