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x= -13/3

Step-by-step explanation:

To solve for x, we need to get x by itself.

6x+7= 3x-6

First, move all the terms with variables to the left side of the equation.

Subtract 3x from both sides of the equation.

6x-3x +7 = 3x-3x-6

(6x-3x)+7=-6

3x+7=6

Now, we must move all the constants (terms without variables) to the right side of the equation.

Subtract 7 from both sides of the equation.

3x+7-7=-6-7

3x= -6-7

3x= -13

Now all the variables are on side and the constants are on the other. x is not by itself yet, it is being multiplied by 3. The inverse of multiplication is division. Divide both sides by 3.

3x/3= -13/3

x= -13/3

This fraction cannot be simplified, therefore it is our final answer.

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step-by-step explanation: