The given mathematical expression is quite disorganized and nonsensical. Let's correct it to make sense.

Given:

[tex]\[\begin{array}{l}
1. \\
+2 \times 3 + 2 \\
x^2 + 3 + 3 = -4 \times 4 \\
+3 + 4 = 0
\end{array}\][/tex]

The individual parts do not form a coherent equation or set of equations. Let's assume it was intended to present a coherent mathematical problem:

1. Simplify and solve the expression:

[tex]\[2 \times 3 + 2\][/tex]

2. Solve for [tex]\(x\)[/tex]:

[tex]\[x^2 + 3 + 3 = -4 \times 4\][/tex]

3. Check if the following equation holds true:

[tex]\[3 + 4 = 0\][/tex]

So, the formatted question might look like:

1. Simplify the expression:
[tex]\[2 \times 3 + 2\][/tex]

2. Solve for [tex]\(x\)[/tex]:
[tex]\[x^2 + 6 = -16\][/tex]

3. Verify if the equation holds true:
[tex]\[3 + 4 = 0\][/tex]

However, upon inspection, some parts are still nonsensical, particularly the verification step which is mathematically incorrect. Adjusting for logical consistency:

1. Simplify the expression:
[tex]\[2 \times 3 + 2\][/tex]

2. Solve for [tex]\(x\)[/tex] in the equation:
[tex]\[x^2 + 6 = -16\][/tex]

Note: After correction, the second part is clear, but still results in a non-real solution. Further context would be needed for precise correction.



Answer :

Certainly, let's break down the given mathematical expressions step-by-step:

1. First expression:
[tex]\[ 1 + 2 \times 3 \][/tex]
According to the order of operations (PEMDAS/BODMAS):
[tex]\[ 2 \times 3 = 6 \][/tex]
Thus:
[tex]\[ 1 + 6 = 7 \][/tex]

2. The second expression:
[tex]\[ 2 \][/tex]
This is a straightforward constant value, so it remains:
[tex]\[ 2 \][/tex]

3. Third expression:
[tex]\[ x^2 + 3 + 3 \][/tex]
As we don't have a specific value for [tex]\( x \)[/tex], let's assume the expression needs evaluation independently of [tex]\( x \)[/tex]. Simplify the constants:
[tex]\[ 3 + 3 = 6 \][/tex]
Hence:
[tex]\[ x^2 + 6 \][/tex]
Now, let's assume [tex]\( x = 2 \)[/tex] for simplicity:
[tex]\[ 2^2 + 6 = 4 + 6 = 10 \][/tex]

4. Fourth expression:
[tex]\[ -4 \times 4 \][/tex]
Multiply:
[tex]\[ -4 \times 4 = -16 \][/tex]

5. Fifth expression:
[tex]\[ 3 \][/tex]
Another constant that remains unchanged:
[tex]\[ 3 \][/tex]

6. Sixth expression:
[tex]\[ 4 \][/tex]
This is again a constant value, so it remains:
[tex]\[ 4 \][/tex]

So, putting all these results together:

- First expression: [tex]\( 7 \)[/tex]
- Second expression: [tex]\( 2 \)[/tex]
- Third expression: [tex]\( 10 \)[/tex]
- Fourth expression: [tex]\( -16 \)[/tex]
- Fifth expression: [tex]\( 3 \)[/tex]
- Sixth expression: [tex]\( 4 \)[/tex]

The sequence of results is:
[tex]\[ (7, 2, 10, -16, 3, 4) \][/tex]

That’s the detailed step-by-step solution for each expression given in the original question.