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2400=5x+4\left(555-x\right)
Multiply both sides of the equation by 300, the least common multiple of 60,75.
2400=5x+2220-4x
Use the distributive property to multiply 4 by 555-x.
2400=x+2220
Combine 5x and -4x to get x.
x+2220=2400
Swap sides so that all variable terms are on the left hand side.
x=2400-2220
Subtract 2220 from both sides.
x=180
Subtract 2220 from 2400 to get 180.