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1=53\left(15x+19\right)
Variable x cannot be equal to -\frac{19}{15} since division by zero is not defined. Multiply both sides of the equation by 15x+19.
1=795x+1007
Use the distributive property to multiply 53 by 15x+19.
795x+1007=1
Swap sides so that all variable terms are on the left hand side.
795x=1-1007
Subtract 1007 from both sides.
795x=-1006
Subtract 1007 from 1 to get -1006.
x=\frac{-1006}{795}
Divide both sides by 795.
x=-\frac{1006}{795}
Fraction \frac{-1006}{795} can be rewritten as -\frac{1006}{795} by extracting the negative sign.