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7x-15=1-\left(7x+9\right)
Combine 13x and -6x to get 7x.
7x-15=1-7x-9
To find the opposite of 7x+9, find the opposite of each term.
7x-15=-8-7x
Subtract 9 from 1 to get -8.
7x-15+7x=-8
Add 7x to both sides.
14x-15=-8
Combine 7x and 7x to get 14x.
14x=-8+15
Add 15 to both sides.
14x=7
Add -8 and 15 to get 7.
x=\frac{7}{14}
Divide both sides by 14.
x=\frac{1}{2}
Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.