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Math

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PROBLEM

Which algebraic expression equals 3(2x8)11x3(2 x-8)-11 x? A. 5x24-5 x-24 B. 17x24-17 x-24 C. 5x8-5 x-8 D. 17x+24-17 x+24

STEP 1

Assumptions1. We are given the algebraic expression 3(x8)11x3(x-8)-11x.
. We need to simplify this expression and match it with one of the given options.

STEP 2

First, we need to distribute the multiplication across the terms inside the parentheses.
(2x8)11x=2x811x(2x-8)-11x = \cdot2x - \cdot8 -11x

STEP 3

Now, calculate the multiplication.
32x3811x=6x2411x3 \cdot2x -3 \cdot8 -11x =6x -24 -11x

STEP 4

Next, we combine like terms.
6x2411x=(6x11x)246x -24 -11x = (6x -11x) -24

SOLUTION

Calculate the subtraction.
(x11x)24=5x24(x -11x) -24 = -5x -24So, the algebraic expression 3(2x8)11x3(2x-8)-11x simplifies to 5x24-5x -24.
Comparing this with the given options, we see that it matches with option A.
So, the correct answer is A 5x24-5x -24.

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