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5x=-800+4\left(x-80\right)
Multiply both sides of the equation by 400, the least common multiple of -80,100.
5x=-800+4x-320
Use the distributive property to multiply 4 by x-80.
5x=-1120+4x
Subtract 320 from -800 to get -1120.
5x-4x=-1120
Subtract 4x from both sides.
x=-1120
Combine 5x and -4x to get x.