It appears that there is some confusion in the problem statement. Let's try to clarify and solve the problem one step at a time.
Given the fragments of the equation and expressions, it seems there's an effort to understand a certain mathematical operation or equation step-by-step.
Let's break it down:
1. Expression with `37_{26}`:
- Assuming base 26 (a non-standard numeral system)
- Let's clarify that, because typically problems involve standard bases like decimal, binary, etc.
2. Multiplication and Addition:
- The expression contains `37_{26} \times (7 \times 2)=(1+24)`.
Since parts of the context or surrounding text aren't clear, let's focus on a structured interpretation of such problems.
Assumption: Let's interpret `37_{26}` as a number in base 26. In base 26, `37_{26}` translates to:
[tex]\[
3 \times 26^1 + 7 \times 26^0 = 78 + 7 = 85 \text{ (in decimal)}
\][/tex]
### Steps:
1. Calculate the product:
[tex]\[
37_{26} = 85
\][/tex]
[tex]\[
85 \times (7 \times 2) \to 85 \times 14 = 1190
\][/tex]
2. Understand the addition:
- There's confusion with `(1 + 24)`. Interpret it separately.
#### Rewriting and Solving Steps with Equations:
- Given:
[tex]\[
2x \left( 37_{26} \times (7 \times 2)\right) = (1 + 24)
\][/tex]
- Assume simple calculation errors and fix the `+` sign mistake:
[tex]\[
2x ( 37 \times 14) = 25
\][/tex]
- Next, calculate the product inside:
[tex]\[
2x (85 \times 14 = 1190) = 25
\][/tex]
#### Solving for `x`:
- Rearrange `2x \cdot 1190 = 25`:
[tex]\[
x = \frac{25}{2 \times 1190}
\][/tex]
[tex]\[
x = \frac{25}{2380}
\][/tex]
[tex]\[
x \approx 0.0105
\][/tex]
So, `x` is approximately [tex]\(0.0105\)[/tex].
The provided values and intermediate calculations form the final detailed steps and results:
- Numerical calculations corrected.
- The final calculation step presented clearly as [tex]\( x \approx 0.0105 \)[/tex].
