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\frac{2}{5}x-7-\frac{6}{5}x=-6
Subtract \frac{6}{5}x from both sides.
-\frac{4}{5}x-7=-6
Combine \frac{2}{5}x and -\frac{6}{5}x to get -\frac{4}{5}x.
-\frac{4}{5}x=-6+7
Add 7 to both sides.
-\frac{4}{5}x=1
Add -6 and 7 to get 1.
x=1\left(-\frac{5}{4}\right)
Multiply both sides by -\frac{5}{4}, the reciprocal of -\frac{4}{5}.
x=-\frac{5}{4}
Multiply 1 and -\frac{5}{4} to get -\frac{5}{4}.