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\frac{61x^{2}-53x-28}{\left(3x^{2}-4x\right)\left(2x+1\right)}
Use the distributive property to multiply x by 3x-4.
\frac{61x^{2}-53x-28}{6x^{3}-5x^{2}-4x}
Use the distributive property to multiply 3x^{2}-4x by 2x+1 and combine like terms.
\frac{61x^{2}-53x-28}{\left(3x^{2}-4x\right)\left(2x+1\right)}
Use the distributive property to multiply x by 3x-4.
\frac{61x^{2}-53x-28}{6x^{3}-5x^{2}-4x}
Use the distributive property to multiply 3x^{2}-4x by 2x+1 and combine like terms.