Final answer:
To simplify the expression 3(2x+7)+4(5x-2), distribute multiplication over addition for each term, combine like terms, and obtain the simplified expression 26x + 13.
Step-by-step explanation:
The question involves distributing multiplication over addition and then simplifying the expression. We will distribute 3 across (2x+7) and 4 across (5x-2) and then combine like terms.
Step 1: Distribute the 3:
3(2x) + 3(7) = 6x + 21
Step 2: Distribute the 4:
4(5x) + 4(-2) = 20x - 8
Step 3: Combine the results of Step 1 and Step 2:
6x + 21 + 20x - 8
Step 4: Combine like terms by adding the coefficients of x and the constant numbers separately:
(6x + 20x) + (21 - 8) = 26x + 13
Therefore, the simplified expression is 26x + 13.