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4\left(5-5\right)+5\left(x+1\right)=400
Multiply both sides of the equation by 20, the least common multiple of 5,4.
4\times 0+5\left(x+1\right)=400
Subtract 5 from 5 to get 0.
0+5\left(x+1\right)=400
Multiply 4 and 0 to get 0.
0+5x+5=400
Use the distributive property to multiply 5 by x+1.
5+5x=400
Add 0 and 5 to get 5.
5x=400-5
Subtract 5 from both sides.
5x=395
Subtract 5 from 400 to get 395.
x=\frac{395}{5}
Divide both sides by 5.
x=79
Divide 395 by 5 to get 79.