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6x+3+\left(x+5\right)\left(2x+1\right)
Use the distributive property to multiply 3 by 2x+1.
6x+3+2x^{2}+x+10x+5
Apply the distributive property by multiplying each term of x+5 by each term of 2x+1.
6x+3+2x^{2}+11x+5
Combine x and 10x to get 11x.
17x+3+2x^{2}+5
Combine 6x and 11x to get 17x.
17x+8+2x^{2}
Add 3 and 5 to get 8.
6x+3+\left(x+5\right)\left(2x+1\right)
Use the distributive property to multiply 3 by 2x+1.
6x+3+2x^{2}+x+10x+5
Apply the distributive property by multiplying each term of x+5 by each term of 2x+1.
6x+3+2x^{2}+11x+5
Combine x and 10x to get 11x.
17x+3+2x^{2}+5
Combine 6x and 11x to get 17x.
17x+8+2x^{2}
Add 3 and 5 to get 8.