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\left(x+400\right)\times 400=800\times 400
Variable x cannot be equal to -400 since division by zero is not defined. Multiply both sides of the equation by 800\left(x+400\right), the least common multiple of 800,400+x.
400x+160000=800\times 400
Use the distributive property to multiply x+400 by 400.
400x+160000=320000
Multiply 800 and 400 to get 320000.
400x=320000-160000
Subtract 160000 from both sides.
400x=160000
Subtract 160000 from 320000 to get 160000.
x=\frac{160000}{400}
Divide both sides by 400.
x=400
Divide 160000 by 400 to get 400.