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30x+300=16\left(40+x\right)
Use the distributive property to multiply 30 by x+10.
30x+300=640+16x
Use the distributive property to multiply 16 by 40+x.
30x+300-16x=640
Subtract 16x from both sides.
14x+300=640
Combine 30x and -16x to get 14x.
14x=640-300
Subtract 300 from both sides.
14x=340
Subtract 300 from 640 to get 340.
x=\frac{340}{14}
Divide both sides by 14.
x=\frac{170}{7}
Reduce the fraction \frac{340}{14} to lowest terms by extracting and canceling out 2.