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4x-7+6x=1
Add 6x to both sides.
10x-7=1
Combine 4x and 6x to get 10x.
10x=1+7
Add 7 to both sides.
10x=8
Add 1 and 7 to get 8.
x=\frac{8}{10}
Divide both sides by 10.
x=\frac{4}{5}
Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.