First, let's find the least common multiple (LCM) of 30 and 10530 = 2 3 105 = 3 5 7
LCM(30, 105) = 2 3 5 * 7 = 210
Now, let's solve the equation3 * (2x - 83) + 45 = 216x - 249 + 45 = 216x - 204 = 216x = 41x = 69
Therefore, the solution to the equation is x = 69.
First, let's find the least common multiple (LCM) of 30 and 105
30 = 2 3
105 = 3 5 7
LCM(30, 105) = 2 3 5 * 7 = 210
Now, let's solve the equation
3 * (2x - 83) + 45 = 21
6x - 249 + 45 = 21
6x - 204 = 21
6x = 41
x = 69
Therefore, the solution to the equation is x = 69.