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100x-\left(-100x\right)-1400=100
To find the opposite of -100x+1400, find the opposite of each term.
100x+100x-1400=100
The opposite of -100x is 100x.
200x-1400=100
Combine 100x and 100x to get 200x.
200x=100+1400
Add 1400 to both sides.
200x=1500
Add 100 and 1400 to get 1500.
x=\frac{1500}{200}
Divide both sides by 200.
x=\frac{15}{2}
Reduce the fraction \frac{1500}{200} to lowest terms by extracting and canceling out 100.