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7x-7=18-3x
Use the distributive property to multiply 7 by x-1.
7x-7+3x=18
Add 3x to both sides.
10x-7=18
Combine 7x and 3x to get 10x.
10x=18+7
Add 7 to both sides.
10x=25
Add 18 and 7 to get 25.
x=\frac{25}{10}
Divide both sides by 10.
x=\frac{5}{2}
Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.