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Starting with the given equation:
3(4x-12) = 84
We can start solving for x by distributing the 3 on the left side of the equation:
12x - 36 = 84
Next, we can isolate the variable x by moving the constant term -36 to the right side:
12x = 84 + 36
Simplifying the right side:
12x = 120
Finally, we can solve for x by dividing both sides of the equation by 12:
x = 120/12
Simplifying:
x = 10
Therefore, the solution is x = 10.
The correct option is C. x=10.