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Algebra Problems

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I need help with the problems in the attached document. Please provide step-by-step instructions so that I can check my problems to make sure I did them correctly.

1. Solve x - 3 = -7
2. Solve x - 5 = 25
3. Using the addition principle solve 15 = n - 2. Be sure to check.
4. Solve using the multiplication principle. Be sure to check.
-3x = 36
5. Solve -5x + 10 = 40. Be sure to check.
6. Add (3x + 4) + (-4x + 8). Simplify the answer.
7. Add (x3 - 1) + (x3 + 1). Simplify the answer.
8. Add (9 + 7x + 5x2 + 6x3) + (5 - 7x + 5x2 - 6x3). Simplify the answer.
9. Simplify -(4x - 3)
10. Subtract (6x + 2) - (-4x + 7). Simplify the answer.

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The solution provides step by step method for solving, adding, multiplying and subtracting algebraic expressions.

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1. Solve x - 3 = -7
Answer
Given, x - 3 = -7
Therefore, x = -7 + 3 = -4
2. Solve x - 5 = 25
Answer
Given, x - 5 = 25
Therefore, x = 25 + 5 = 30
3. Using the addition principle solve 15 = n - 2. Be sure to check.
Answer
Given, 15 = n - 2
Using the addition principle, add 2 on both sides of the equation, we get,
15 + 2 = n - 2 + 2
That is, 17 = n
Or n = 17
Check:
LHS = 15
RHS = n - 2 = 17 - 2 = 15
That ...

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