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29=6x-360+75
Use the distributive property to multiply 6 by x-60.
29=6x-285
Add -360 and 75 to get -285.
6x-285=29
Swap sides so that all variable terms are on the left hand side.
6x=29+285
Add 285 to both sides.
6x=314
Add 29 and 285 to get 314.
x=\frac{314}{6}
Divide both sides by 6.
x=\frac{157}{3}
Reduce the fraction \frac{314}{6} to lowest terms by extracting and canceling out 2.