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Given the instruction to correct the formatting of the provided text, here is the revised version:

Solve for [tex]\( x \)[/tex]:
[tex]\[ 3x = 6x - 2 \][/tex]

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The final task appears to be a fragment and does not form a coherent question or statement. To make it meaningful, we need additional context. However, if we are to focus solely on the given fragment:

[tex]$ \left.-20 \pi k-2 r^2\right\} $[/tex]

This expression seems incomplete and potentially contains errors. Based on standard mathematical notation, here's a possible interpretation if we attempt to complete it:

[tex]\[ -20 \pi k - 2r^2 \][/tex]

However, without additional context or instructions, it is challenging to ascertain the intended meaning or application.



Answer :

GinnyAnswer
Sure! Let's analyze and simplify the given expression step-by-step.

Given expression: [tex]\(-20\pi k - 2r^2\)[/tex]

1. Identify the coefficients and variables:
- The term [tex]\(-20\pi k\)[/tex] has a coefficient of [tex]\(-20\pi\)[/tex] and a variable [tex]\(k\)[/tex].
- The term [tex]\(-2r^2\)[/tex] has a coefficient of [tex]\(-2\)[/tex] and a variable [tex]\(r^2\)[/tex].

2. Describe each part individually:
- [tex]\(-20\pi k\)[/tex]: This term includes [tex]\(\pi\)[/tex], a mathematical constant approximately equal to 3.14159, multiplied by -20 and then by the variable [tex]\(k\)[/tex].
- [tex]\(-2r^2\)[/tex]: Here, [tex]\(r^2\)[/tex] represents the variable [tex]\(r\)[/tex] squared (multiplied by itself), and it is then multiplied by -2.

3. Combine both parts:
Since there are no like terms (terms having the same variable raised to the same power), they cannot be directly combined. The expression remains as a sum of both parts:
[tex]\[ -20\pi k - 2r^2 \][/tex]

There is nothing further to simplify in this expression, because:
- [tex]\(k\)[/tex] and [tex]\(r\)[/tex] are different variables and not like terms.
- The coefficients are not additive or multipliable directly with each other.

So, the simplified final form of the expression is [tex]\(-20\pi k - 2r^2\)[/tex].

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