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2200=100x+120x
Multiply 50 and 2 to get 100. Multiply 30 and 4 to get 120.
2200=220x
Combine 100x and 120x to get 220x.
220x=2200
Swap sides so that all variable terms are on the left hand side.
x=\frac{2200}{220}
Divide both sides by 220.
x=10
Divide 2200 by 220 to get 10.