If you want to "remove" $x +$ by incorporating it into a common denominator, the process typically involves rewriting terms so that they share a single denominator, allowing for simplification or further manipulation. Let me illustrate this concept:

Problem Example:

Suppose you have an expression like: $\frac{1}{x} + x$

Step-by-Step Solution:

1. Express $x$ as a fraction: Rewrite $x$ as $\frac{x}{1}$, so: $\frac{1}{x} + \frac{x}{1}$

2. Find the common denominator: The least common denominator (LCD) of $x$ and $1$ is $x$. Rewrite both fractions with the LCD: $\frac{1}{x} + \frac{x^2}{x}$

3. Combine the fractions: Since the denominators are now the same, combine the numerators: $\frac{1 + x^2}{x}$

Final Expression:

The result is: $\frac{1 + x^2}{x}$

This approach effectively "removes" the $x +$ by combining it into a single fraction over the common denominator.

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If you have a different problem in mind, feel free to clarify or upload an example. 😊

Related Questions:

1. How do you simplify an expression like $\frac{1}{x} + \frac{2}{y}$?
2. What happens if the numerator involves variables, like $\frac{1}{x} + \frac{x}{x+1}$?
3. How do you factorize a quadratic numerator, e.g., $\frac{x^2 + 3x + 2}{x}$?
4. How do you handle subtraction in similar cases, like $\frac{1}{x} - x$?
5. How do you solve equations where fractions are equated, such as $\frac{1}{x} + x = 2$?

Tip:

Always simplify fractions as much as possible after combining them—it makes later steps in solving or analyzing easier!