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Let's go through the solutions for each of these algebra problems step-by-step.

### 1. Solve: \(-\frac{8}{x} = -\frac{2}{x+1}\)

First, cross-multiply to eliminate the fractions:

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Solve the following algebra equations:
1. -8/x = -2/(x+1)
2. (18/4)x = 81/(2x)
3. 5(x + 7) - 3(x - 2) = 0
4. (x - 6) = sqrt(25/9)
5. -2(x - 4) - 5.1 = 9(x + 3.5)

This page provides a detailed step-by-step solution to five key algebra problems, including rational equations, linear equations, and solving with square roots. Ideal for high school students in Grades 9-11, this content covers cross-multiplication, distributive property, and basic algebraic operations.

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