Final answer:
To solve the equation m(2x+6) = 38 for x, one would normally divide by m, subtract 6 from both sides, and then divide by 2.
Step-by-step explanation:
The question asks us to solve the equation m(2x+6) = 38 for the variable x. To find the value of x, we can follow these steps:
- Divide both sides of the equation by m, assuming that m ≠ 0 since we are given that 1 | m || n, which suggests m is a non-zero integer.
- This gives us 2x + 6 = 38/m.
- We then subtract 6 from both sides to get 2x = 38/m - 6.
- Finally, divide both sides by 2 to solve for x, resulting in x = (38/m - 6)/2.
However, without knowing the value of m, we cannot calculate the exact numerical value of x. The provided references do not offer additional information on the value of m, thus we cannot proceed further without this crucial piece of information.