Sure, let's solve this step-by-step.
### Step 1: Simplify the given algebraic expression
Given the expression:
[tex]\[
3x + 2y + 2x
\][/tex]
First, we need to combine the like terms. Here, [tex]\(3x\)[/tex] and [tex]\(2x\)[/tex] are like terms.
Combining the [tex]\(x\)[/tex] terms:
[tex]\[
3x + 2x = 5x
\][/tex]
Thus, the simplified expression is:
[tex]\[
5x + 2y
\][/tex]
### Step 2: Calculate the product
We are asked to find the product of:
[tex]\[
7(6.1)
\][/tex]
Using distributive property and mental math (or by direct calculation), we multiply 7 by 6.1:
[tex]\[
7 \times 6.1 = 42.7
\][/tex]
So, the correct option is:
[tex]\[
\boxed{42.7}
\][/tex]
### Step 3: Calculate another product
We are also given:
[tex]\[
4(51)
\][/tex]
Again, using distributive property or direct calculation, we multiply 4 by 51:
[tex]\[
4 \times 51 = 204
\][/tex]
So, the result is:
[tex]\[
204
\][/tex]
### Summary
- The simplified form of [tex]\(3x + 2y + 2x\)[/tex] is [tex]\(5x + 2y\)[/tex].
- The product of [tex]\(7(6.1)\)[/tex] is [tex]\(42.7\)[/tex].
- The product of [tex]\(4(51)\)[/tex] is [tex]\(204\)[/tex].
