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6\left(x+200\right)=12\times 150
Variable x cannot be equal to -200 since division by zero is not defined. Multiply both sides of the equation by x+200.
6x+1200=12\times 150
Use the distributive property to multiply 6 by x+200.
6x+1200=1800
Multiply 12 and 150 to get 1800.
6x=1800-1200
Subtract 1200 from both sides.
6x=600
Subtract 1200 from 1800 to get 600.
x=\frac{600}{6}
Divide both sides by 6.
x=100
Divide 600 by 6 to get 100.