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9x-2x-\left(-14\right)=37
To find the opposite of 2x-14, find the opposite of each term.
9x-2x+14=37
The opposite of -14 is 14.
7x+14=37
Combine 9x and -2x to get 7x.
7x=37-14
Subtract 14 from both sides.
7x=23
Subtract 14 from 37 to get 23.
x=\frac{23}{7}
Divide both sides by 7.