Question

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1. \\-2x - 5 = -17\\

Explanation:

Identify the equation

We are given a linear equation to solve.
The target is to find the value of \(x\).
We will use Two-Step Equations and Inverse Operations.

Isolate the variable term

Using the Inverse Operations knowledge point, we add \(5\) to both sides.

$$ -2x - 5 + 5 = -17 + 5 $$

$$ -2x = -12 $$

Solve for x

Using the Two-Step Equations knowledge point, we divide both sides by \(-2\).

$$ \frac{-2x}{-2} = \frac{-12}{-2} $$

$$ x = 6 $$

Answer:

\(-2x - 5 = -17\)
\(x =\) <blank>\(6\)</blank>