Answer: No.
Explanation:
We are already given the value of x, so all we have to do is substitute the value of x into the expressions.
For the first expression :
1. Substitute the value of x (in this case the value of x is 6) into the expression. Like this: 4(3(6)+6)
We need to put the 6 next to the 3 into a parenthesis because an x next to a number means 3 times the value of x. The parenthesis symbolizes multiplication. So, 3x is the same as 3(6).
2. Solve the parenthesis "3(6)". All we would have to do is multiply 3x6. 3x6 = 24. Now the expression looks like this: 4(24+6)
3. Solve the parenthesis. All we have to do is multiply 4x24 and 4x6. We know 4x24 = 96. And, 4x6 = 24. So, we just fill that in. It will look like this: 96+24
4. Add it up. 96+24 is 120. So, the first expression equals 120.
For the second expression :
The second expression is simple. As I said before, a number next to x means x multiplied by that number, just like parenthesis. So, we would substitute the x to 6 and put that in parenthesis. Like so: 12(6).
Now, just multiply that. 12x6=72. So, the second equation is equivalent to 72.
Summary:
The first expression is equivalent to 120. The second expression is equivalent to 72. These two numbers are not equivalent. So, the expressions are not equivalent when x=6.
How the solving process would look for the first expression :
4(3x+x)
4(3(6)+x)
4(24+6)
96+24
120
How the solving process would look for the second expression :
12x
12(6)
72