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7x-7=44-5x-6x
Combine 3x and 4x to get 7x.
7x-7=44-11x
Combine -5x and -6x to get -11x.
7x-7+11x=44
Add 11x to both sides.
18x-7=44
Combine 7x and 11x to get 18x.
18x=44+7
Add 7 to both sides.
18x=51
Add 44 and 7 to get 51.
x=\frac{51}{18}
Divide both sides by 18.
x=\frac{17}{6}
Reduce the fraction \frac{51}{18} to lowest terms by extracting and canceling out 3.