Solve |x| = 10{10}{-10, 10}{-10 < x < 10}

To solve the equation |x| = 10, we need to consider two cases: when x is positive and when x is negative.

Case 1: x is positive In this case, the equation becomes x = 10. Therefore, x = 10 is a solution.

Case 2: x is negative In this case, the equation becomes -x = 10. To solve for x, we need to multiply both sides of the equation by -1, which gives us x = -10. Therefore, x = -10 is also a solution.

So, the solutions to the equation |x| = 10 are x = 10 and x = -10.

However, we also have the additional condition -10 < x < 10. This means that the solutions must be within the range of -10 to 10, excluding -10 and 10.

Therefore, the final solution to the equation |x| = 10, considering the additional condition, is x = -10.