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The answer is x = 9 and the workings and explanation are below for your information.

3(3x + 1) = 4(2x + 3)

First we need to multiply out the brackets. We will do this by multiplying each term inside the bracket with what is outside the bracket. So on the left side of the equation, for example, we will get:

9x (because this is 3x * 3) + 3 (because this is 3 * 1).

So when we multiply out both brackets we will get:

9x + 3 = 8x + 12

We now need to move all the "x's" to one side of the equation and all the constants (the numbers) to the other side. When we move anything from one side of an equation to the other side we have to change a positive to a negative and vice versa.

So we will get:

9x - 8x = -3 + 12

Now we can simplify both sides to:

x = 9.

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