<u>Given</u>:
The given expression is 
We need to determine the equivalent expression.
<u>Option A:</u> -1
Solving the expression, we get;

Simplifying, we get;

Thus, the expression
is not equivalent to -1.
Hence, Option A is not the correct answer.
<u>Option B</u>: 29
Solving the expression, we get;

Simplifying, we get;

Thus, the expression
is equivalent to 29.
Hence, Option B is the correct answer.
<u>Option C</u>: ![2\left(\frac{3}{4} x+7\right)+(-3)\left[\frac{1}{2} x+(-5)\right]](https://tex.z-dn.net/?f=2%5Cleft%28%5Cfrac%7B3%7D%7B4%7D%20x%2B7%5Cright%29%2B%28-3%29%5Cleft%5B%5Cfrac%7B1%7D%7B2%7D%20x%2B%28-5%29%5Cright%5D)
Let us rewrite the given expression.
![2\left(\frac{3}{4} x+7\right)+(-3)\left[\frac{1}{2} x+(-5)\right]](https://tex.z-dn.net/?f=2%5Cleft%28%5Cfrac%7B3%7D%7B4%7D%20x%2B7%5Cright%29%2B%28-3%29%5Cleft%5B%5Cfrac%7B1%7D%7B2%7D%20x%2B%28-5%29%5Cright%5D)
Thus, the expression
is equivalent to ![2\left(\frac{3}{4} x+7\right)+(-3)\left[\frac{1}{2} x+(-5)\right]](https://tex.z-dn.net/?f=2%5Cleft%28%5Cfrac%7B3%7D%7B4%7D%20x%2B7%5Cright%29%2B%28-3%29%5Cleft%5B%5Cfrac%7B1%7D%7B2%7D%20x%2B%28-5%29%5Cright%5D)
Thus, Option C is the correct answer.
<u>Option D</u>: 
Rewriting the expression, we get;
![2\left(\frac{3}{4} x+7\right)+(-3)\left[\frac{1}{2} x+(-5)\right]](https://tex.z-dn.net/?f=2%5Cleft%28%5Cfrac%7B3%7D%7B4%7D%20x%2B7%5Cright%29%2B%28-3%29%5Cleft%5B%5Cfrac%7B1%7D%7B2%7D%20x%2B%28-5%29%5Cright%5D)
Hence, the expression
is equivalent not to 
Thus, Option D is not the correct answer.
<u>Option E:</u> 
Multiplying the terms within the bracket, we get;

Hence, the expression
is equivalent to 
Thus, Option E is the correct answer.