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\left(10x+5\right)\left(3x+5\right)+2x
Use the distributive property to multiply 5 by 2x+1.
30x^{2}+50x+15x+25+2x
Apply the distributive property by multiplying each term of 10x+5 by each term of 3x+5.
30x^{2}+65x+25+2x
Combine 50x and 15x to get 65x.
30x^{2}+67x+25
Combine 65x and 2x to get 67x.
\left(10x+5\right)\left(3x+5\right)+2x
Use the distributive property to multiply 5 by 2x+1.
30x^{2}+50x+15x+25+2x
Apply the distributive property by multiplying each term of 10x+5 by each term of 3x+5.
30x^{2}+65x+25+2x
Combine 50x and 15x to get 65x.
30x^{2}+67x+25
Combine 65x and 2x to get 67x.