Answer :

GinnyAnswer
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].

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