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The image contains a list of algebraic equations with the instruction to solve them. Here is a transcription of the exercises:

**12. Solve the equation:**

1) \( |7 - x| = -7 \)

2) \( |x + 6| = x + 10 \)

3) \( \sqrt{(x - 9)^2} = x - 9 \)

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**13. Solve the equation:**

1) \( x^2 - 12x + 11 = 0 \)

2) \( x^2 - 15x + 56 = 0 \)

3) \( 6x^2 + 7x - 3 = 0 \)

4) \( 16x^2 + 8x + 1 = 0 \)

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**14. Solve the equation:**

1) \( x^4 - 10x^2 + 9 = 0 \)

2) \( 10x^4 + 7x^2 + 1 = 0 \)

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Would you like me to solve a specific problem from this list?

Solve the following algebraic equations:
1) |7 - x| = -7
2) |x + 6| = x + 10
3) √((x - 9)^2) = x - 9
4) x^2 - 12x + 11 = 0
5) x^2 - 15x + 56 = 0
6) 6x^2 + 7x - 3 = 0
7) 16x^2 + 8x + 1 = 0
8) x^4 - 10x^2 + 9 = 0
9) 10x^4 + 7x^2 + 1 = 0

Learn how to solve a series of algebraic equations, including absolute value equations, square root functions, quadratic equations, and higher-degree polynomials. This detailed solution guide covers concepts such as the quadratic formula and the properties of absolute values and square roots. Suitable for students in Grades 9-11.

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