To find the equivalent algebraic expression, we first need to distribute the numbers outside the parentheses to the terms inside the parentheses.

For the first part, 2(x - 5), distribute 2 to both x and -5:
2*x = 2x
2*-5 = -10

So, 2(x - 5) becomes 2x - 10.

For the second part, 13(x + 7), distribute 13 to both x and 7:
13*x = 13x
13*7 = 91

So, 13(x + 7) becomes 13x + 91.

Now, add the results together:
(2x - 10) + (13x + 91) = 2x + 13x - 10 + 91 = 15x + 81

So, the equivalent algebraic expression is 15x + 81, which corresponds to option A.

Question

To find the equivalent algebraic expression, we first need to distribute the numbers outside the parentheses to the terms inside the parentheses.

For the first part, 2(x - 5), distribute 2 to both x and -5:
2*x = 2x
2*-5 = -10

So, 2(x - 5) becomes 2x - 10.

For the second part, 13(x + 7), distribute 13 to both x and 7:
13*x = 13x
13*7 = 91

So, 13(x + 7) becomes 13x + 91.

Now, add the results together:
(2x - 10) + (13x + 91) = 2x + 13x - 10 + 91 = 15x + 81

So, the equivalent algebraic expression is 15x + 81, which corresponds to option A.

Knowee AI · Accepted Answer

To find the equivalent algebraic expression, we first need to distribute the numbers outside the parentheses to the terms inside the parentheses.

For the first part, 2(x - 5), distribute 2 to both x and -5:
2*x = 2x
2*-5 = -10

So, 2(x - 5) becomes 2x - 10.

For the second part, 13(x + 7), distribute 13 to both x and 7:
13*x = 13x
13*7 = 91

So, 13(x + 7) becomes 13x + 91.

Now, add the results together:
(2x - 10) + (13x + 91) = 2x + 13x - 10 + 91 = 15x + 81

So, the equivalent algebraic expression is 15x + 81, which corresponds to option A.

Which algebraic expression is equivalent to the expression below?2(x - 5) + 13(x + 7) A. 15x + 81 B. 15x + 101 C. 15x + 8 D. 26x + 81