13. Find the solution set. Then indicate whether the equation is conditional , an identity, or a contradiction. 24(x-1)=-6(4-x)+18x Select the correct choice below and fill in any answer boxes present in your choice. A. The solution set is square B. The solution is the set of all real numbers. C. The solution is the empty set.

To solve the equation, we need to simplify both sides and see if there is a solution.<br /><br />First, let's simplify the left side of the equation:<br />$24(x-1) = 24x - 24$<br /><br />Next, let's simplify the right side of the equation:<br />$-6(4-x) + 18x = -24 + 6x + 18x = -24 + 24x$<br /><br />Now, we can rewrite the equation as:<br />$24x - 24 = -24 + 24x$<br /><br />Subtracting $24x$ from both sides, we get:<br />$-24 = -24$<br /><br />Since this equation is always true, the solution is the set of all real numbers.<br /><br />Therefore, the correct choice is B. The solution is the set of all real numbers.