Final answer:
To expand and simplify the expression 5 (x+7) +2 (3x-4), distribute the coefficients to the terms inside the parentheses and then combine like terms. the simplified expression is 11x + 27.
Step-by-step explanation:
To expand and simplify the expression 5 (x+7) +2 (3x-4), you need to multiply each term inside the parentheses by the coefficient outside the parentheses. This can be done using the distributive property.
First, distribute 5 to (x+7). This gives you 5x + 35.
Next, distribute 2 to (3x-4). This gives you 6x - 8.
Now you can combine like terms by adding or subtracting them. In this case, the terms are 5x, 35, 6x, and -8.
Combining like terms, the simplified expression is 11x + 27.