Answer:

x = 8.

Step-by-step explanation:

To simplify the equation 10x + 17 - x = 170 - 10x + x - 9, we can combine like terms on both sides of the equation.

1. On the left side, we have 10x - x, which simplifies to 9x. The equation becomes:

9x + 17 = 170 - 10x + x - 9

2. On the right side, we have -10x + x, which simplifies to -9x. The equation becomes:

9x + 17 = 170 - 9x - 9

3. Combine like terms on the right side. 170 - 9 is equal to 161, and we have -9x - 9. The equation becomes:

9x + 17 = 161 - 9x

4. To isolate the variable x, we need to get rid of the -9x term on the right side. We can do this by adding 9x to both sides of the equation:

9x + 9x + 17 = 161 - 9x + 9x

Simplifying, we have:

18x + 17 = 161

5. Next, we need to get rid of the 17 on the left side. We can do this by subtracting 17 from both sides of the equation:

18x + 17 - 17 = 161 - 17

Simplifying, we have:

18x = 144

6. Finally, to solve for x, we divide both sides of the equation by 18:

(18x)/18 = 144/18

Simplifying, we have:

x = 8

Therefore, the solution to the equation 10x + 17 - x = 170 - 10x + x - 9 is x = 8.

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Answer:

x = 8

Step-by-step explanation:

10x + 17 - x = 170 - 10x + x - 9

Rearranging terms:

10x - x + 17 = 170 - 10x + x - 9

9x + 17 = 170 - 9x - 9

18x + 17 = 170 - 9

18x + 17 = 161

18x = 144

x = 144/18

x = 8