(1+7x)-6(-7-x)=36

Jasonbradley

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Jun 16, 2024

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Solving the Equation: (1 + 7x) - 6(-7 - x) = 36

This article will guide you through the process of solving the linear equation (1 + 7x) - 6(-7 - x) = 36. Let's break down the steps:

1. Distribute the -6:

First, we need to distribute the -6 across the parentheses:

(1 + 7x) + 42 + 6x = 36

2. Combine like terms:

Now, combine the terms with 'x' and the constant terms:

13x + 43 = 36

3. Isolate the x term:

To isolate the 'x' term, subtract 43 from both sides of the equation:

13x = -7

4. Solve for x:

Finally, divide both sides of the equation by 13 to solve for 'x':

x = -7/13

Therefore, the solution to the equation (1 + 7x) - 6(-7 - x) = 36 is x = -7/13.