Question

Solve for X. Simplify your answer as much as possible
42 7/3 x.

Answer 1

The solution for
`\( x \)` in the expression
`\( (42 \cdot 7)/(3) \cdot x \)` simplifies to
`\( 294x \).`

Step-by-step explanation:

To solve for
`\( x \)` in the given expression
`\( (42 \cdot 7)/(3) \cdot x \),` first, simplify the numerator:

`\[ (42 \cdot 7)/(3) = (294)/(3) \]`

Now, multiply the simplified result by
`\( x \):`

`\[ (294)/(3) \cdot x = 294x \]`

Therefore, the solution for
`\( x \) is \( 294x \).` This simplification is achieved by multiplying the numerator of the fraction by \( x \).

The initial expression involves the multiplication of
`\( (42 \cdot 7)/(3) \)` and
`\( x \).` To simplify this, the product of 42 and 7 is calculated, resulting in 294. Dividing 294 by 3 gives the simplified fraction
`\( (294)/(3) \).` Finally, multiplying this fraction by
`\( x \)` yields the simplified solution of
`\( 294x \)`. The importance of simplifying expressions lies in presenting them in a more compact and comprehensible form, making mathematical statements and solutions clearer and more manageable.