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  • Solving Linear Equations: A Step-by-Step Guide
    Let's break down this problem step-by-step.

    1. Define the unknown:

    * Let "x" represent your number.

    2. Translate the words into an equation:

    * "5 times your number" --> 5x

    * "30 more than 5 times your number" --> 5x + 30

    * "equal to 7 number" --> = 7x

    3. Write the complete equation:

    5x + 30 = 7x

    4. Solve for x:

    * Subtract 5x from both sides: 30 = 2x

    * Divide both sides by 2: x = 15

    Therefore, your number is 15.

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