To solve this equation, we need to distribute the 2 to both terms inside the parentheses:
2(x+6) = 7x - 3
2x + 12 = 7x - 3
Next, we can subtract 2x from both sides to isolate the variable:
2x + 12 - 2x = 7x - 3 - 2x
12 = 5x - 3
Next, we can add 3 to both sides:
12 + 3 = 5x - 3 + 3
15 = 5x
Finally, we divide by 5 to solve for x:
15/5 = 5x/5
3 = x
Therefore, the solution to the equation is x = 3.
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