This equation is telling us that the absolute value of some number x is equal to 7 and that 1/12 of this number x is equal to 15 2/15.

Let's break this down step by step:

1) |x| = 7
This means that x could be either 7 or -7 because the absolute value of -7 is also 7.

2) 1/12 * x = 15 2/15
To solve for x, we need to first convert 15 2/15 into an improper fraction, which is 227/15. Then, we multiply 1/12 by x:

x/12 = 227/15
x = 12 * 227 / 15
x = 2724 / 15
x = 181.6

So, x can be either 181.6 or -181.6.

However, since the absolute value of x is given as 7, the only valid solution is x = 7.