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10x^{2}-14-3\left(x^{2}-4x+1\right)
Use the distributive property to multiply 2 by 5x^{2}-7.
10x^{2}-14-3x^{2}+12x-3
Use the distributive property to multiply -3 by x^{2}-4x+1.
7x^{2}-14+12x-3
Combine 10x^{2} and -3x^{2} to get 7x^{2}.
7x^{2}-17+12x
Subtract 3 from -14 to get -17.
10x^{2}-14-3\left(x^{2}-4x+1\right)
Use the distributive property to multiply 2 by 5x^{2}-7.
10x^{2}-14-3x^{2}+12x-3
Use the distributive property to multiply -3 by x^{2}-4x+1.
7x^{2}-14+12x-3
Combine 10x^{2} and -3x^{2} to get 7x^{2}.
7x^{2}-17+12x
Subtract 3 from -14 to get -17.