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2+2\left(2+2x+4\right)=14
Use the distributive property to multiply 2 by x+2.
2+2\left(6+2x\right)=14
Add 2 and 4 to get 6.
2+12+4x=14
Use the distributive property to multiply 2 by 6+2x.
14+4x=14
Add 2 and 12 to get 14.
4x=14-14
Subtract 14 from both sides.
4x=0
Subtract 14 from 14 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 4 is not equal to 0, x must be equal to 0.