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2+x-\left(\sqrt[3]{27}-7\right)=0
Calculate the square root of 4 and get 2.
2+x-\left(3-7\right)=0
Calculate \sqrt[3]{27} and get 3.
2+x-\left(-4\right)=0
Subtract 7 from 3 to get -4.
2+x+4=0
The opposite of -4 is 4.
6+x=0
Add 2 and 4 to get 6.
x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.