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3x^{2}+15x-5\left(3x-\frac{1}{5}\right)-3x^{2}
Use the distributive property to multiply 3x by x+5.
3x^{2}+15x-15x+1-3x^{2}
Use the distributive property to multiply -5 by 3x-\frac{1}{5}.
3x^{2}+1-3x^{2}
Combine 15x and -15x to get 0.
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Combine 3x^{2} and -3x^{2} to get 0.