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-409=-4x-49-56x
Use the distributive property to multiply -7 by 7+8x.
-409=-60x-49
Combine -4x and -56x to get -60x.
-60x-49=-409
Swap sides so that all variable terms are on the left hand side.
-60x=-409+49
Add 49 to both sides.
-60x=-360
Add -409 and 49 to get -360.
x=\frac{-360}{-60}
Divide both sides by -60.
x=6
Divide -360 by -60 to get 6.