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0=x\times 6+54+24-6\times 7+3\times 9
Multiply 6 and 9 to get 54. Multiply 3 and 8 to get 24.
0=x\times 6+78-6\times 7+3\times 9
Add 54 and 24 to get 78.
0=x\times 6+78-42+3\times 9
Multiply 6 and 7 to get 42.
0=x\times 6+36+3\times 9
Subtract 42 from 78 to get 36.
0=x\times 6+36+27
Multiply 3 and 9 to get 27.
0=x\times 6+63
Add 36 and 27 to get 63.
x\times 6+63=0
Swap sides so that all variable terms are on the left hand side.
x\times 6=-63
Subtract 63 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-63}{6}
Divide both sides by 6.
x=-\frac{21}{2}
Reduce the fraction \frac{-63}{6} to lowest terms by extracting and canceling out 3.