Fill in the blank to make equivalent rational expressions. (6-x)/(-x-1)=(square )/(x+1)

To make the two rational expressions equivalent, we need to find a value for the numerator of the second fraction that makes the two fractions equal.<br /><br />Let's start by looking at the denominators of the two fractions. We can see that the denominator of the first fraction is the negative of the denominator of the second fraction. This means that the numerator of the first fraction should be the negative of the numerator of the second fraction.<br /><br />So, we can write the equation as:<br /><br />$\frac {6-x}{-x-1}=\frac {-6+x}{x+1}$<br /><br />Now, we can simplify the numerator of the second fraction:<br /><br />$\frac {6-x}{-x-1}=\frac {x-6}{x+1}$<br /><br />Therefore, the value that should be filled in the blank is $x-6$.