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Bot Let's begin by solving this inequality for x:
2x + 6 < 5(x - 3)
2x + 6 < 5x -15
Subtracting 2x from both sides gives:
6 < 3x - 15
Adding 15 to both sides gives:
21 < 3x
Dividing both sides by 3 gives:
7 < x
Therefore the solution to the inequality is x > 7.