We can use the distributive property to simplify the expression:
(3x+1)(x+3)
= 3x(x) + 3x(3) + 1(x) + 1(3) [distribute 3x and 1]
= 3x^2 + 9x + x + 3 [combine like terms]
= 3x^2 + 10x + 3 [final answer]
Therefore, (3x+1)(x+3) simplifies to 3x^2 + 10x + 3.
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