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1. solve the equation, then verify & graph the solution. $7x + 16 = -12$

Question

  1. solve the equation, then verify & graph the solution.

$7x + 16 = -12$

Explanation:

Step1: Isolate the term with $x$

Subtract 16 from both sides:
$7x + 16 - 16 = -12 - 16$

Step2: Simplify both sides

Calculate the constants:
$7x = -28$

Step3: Solve for $x$

Divide both sides by 7:
$\frac{7x}{7} = \frac{-28}{7}$

Step4: Verify the solution

Substitute $x=-4$ into original equation:
$7(-4) + 16 = -28 + 16 = -12$

Answer:

The solution is $x = -4$. To graph this, plot a closed dot at $-4$ on a number line (since it is a single solution, not an interval).