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Match the equivalent expressions.



12 − 3y − 2x + x + 2x
3x + 2y − 2x + y + 12
x + 3y + 2x − 3x + 7 + 5
3y + 12
x − 3y + 12
5 + 2y + 7x − 4x + 3y − 17
4y + 3y + 3x − 6y − 10 − 2
3x + y − 12
x + 3y + 12

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Answer:

Step-by-step explanation: The most important step to do is to simplify the equations down. We do this by finding common variables.

Common Variables are pairs such as 12x and 32x, and not 12x and 32y or 12 and 32.

1. [tex]12 -3y - 2x + x + 2x = 12 - 3y + x[/tex]

2. [tex]3x + 2y - 2x + y + 12 = 12 + 3y + x[/tex]

3. [tex]x + 3y + 2x - 3x + 7 + 5 = 12 + 3y[/tex]

4. [tex]12+ 3y[/tex] cannot be simplified any further.

5. [tex]12-3y+x[/tex] cannot be simplified any further.

6. [tex]5 + 2y + 7x - 4x + 3y - 17 = -12 + 5y + 3x[/tex]

7. [tex]4y + 3y + 3x - 6y - 10 - 2= -12+3x+y[/tex]

8. [tex]-12 +  3x + y[/tex] cannot be simplified any further.

9. [tex]12+ 3y + x[/tex] cannot be simplified any further.

Now, we start to match the equations.

Equation 1 is the same as Equation 5

Equation 2 is the same as Equation 9

Equation 3 is the same as Equation 4

Equation 6 is the same as none of them.

Equation 7 is the same as Equation 8.

And there you are have it!

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