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42x-3-5x-\left(-1\right)=7
To find the opposite of 5x-1, find the opposite of each term.
42x-3-5x+1=7
The opposite of -1 is 1.
37x-3+1=7
Combine 42x and -5x to get 37x.
37x-2=7
Add -3 and 1 to get -2.
37x=7+2
Add 2 to both sides.
37x=9
Add 7 and 2 to get 9.
x=\frac{9}{37}
Divide both sides by 37.