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To solve this equation, we need to isolate the variable x on one side of the equals sign. We can do this by first adding 48 to both sides of the equation to cancel out the -48 on the left side. This gives us the equation 6x = 54. Then, to solve for x, we need to divide both sides by the coefficient of x, which is 6. This will give us x = 54/6, which simplifies to x = 9. It is important to note that the other options are incorrect because they do not satisfy the equation. For example, plugging in x = -6 to the original equation would give us 6(-6) - 48 = -36 - 48 = -84, which is not equal to 6. The same goes for options B, D, and even C when we solve the equation correctly.

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