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6x+3=13x-3^{6+3}
Combine 9x and 4x to get 13x.
6x+3=13x-3^{9}
Add 6 and 3 to get 9.
6x+3=13x-19683
Calculate 3 to the power of 9 and get 19683.
6x+3-13x=-19683
Subtract 13x from both sides.
-7x+3=-19683
Combine 6x and -13x to get -7x.
-7x=-19683-3
Subtract 3 from both sides.
-7x=-19686
Subtract 3 from -19683 to get -19686.
x=\frac{-19686}{-7}
Divide both sides by -7.
x=\frac{19686}{7}
Fraction \frac{-19686}{-7} can be simplified to \frac{19686}{7} by removing the negative sign from both the numerator and the denominator.