#### Answer

45d + 26

#### Work Step by Step

5(2d + 1) + 7(5d + 3)
To simplify this expression, first use the distributive property:
5(2d) + 5(1) + 7(5d) + 7(3)
Multiply and simplify to get this:
10d + 5 + 35d + 21
Add like terms in the expression:
10d + 35d +5 + 21
45d + 26