Which algebraic expression is equivalent to the expression below?
2(x - 5) + 13(x + 7)
A.
15x + 8
B.
15x + 101
C.
26x + 81
D.
15x + 81
The expression 2(x - 5) + 13(x + 7) can be simplified by distributing the 2 and 13:
2 * x - 2 * 5 + 13 * x + 13 * 7
= 2x - 10 + 13x + 91
= (2x + 13x) + (-10 + 91)
= 15x + 81.
Therefore, the equivalent expression is D. 15x + 81.