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**Simplifying Equations Before Solving**

Part 1: Equations with Fractions Example (1) : Solve for x. multiplying by the lowest common denominator x + 4 = 10 x + 4 – 4 = 10 – 4 x = 6

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**Example (2) Solve for x. 4x + 3 = 7 4x + 3 – 3 = 7 – 3 4x = 4 x = 1**

The lowest common denominator is 6. 4x + 3 = 7 4x + 3 – 3 = 7 – 3 4x = 4 x = 1

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**Example (3) Solve for w. The lowest common denominator is 15. 6w = 55**

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**Example (4) Solve for s. 2(3s + 1) + 5 = 10 6s + 2 + 5 = 10**

expand and simplify first 6s = 10 6s + 7 = 10 6s + 7 – 7 = 10 – 7 6s = 3

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**k = 3 Example (5) Solve for k. 3k + 1 + 2k – 4 = 12**

simplify first 3k + 2k + 1– 4 = 12 group like terms add like terms 5k – 3 = 12 5k – = 5k = 15 k = 3

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