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Step-by-step explanation:

[tex] {x}^{2} + 6x - 7[/tex]

Let's solve your equation step-by-step.

(x+3)2−9=7

Step 1: Simplify both sides of the equation.

x2+6x=7

Step 2: Subtract 7 from both sides.

x2+6x−7=7−7

x2+6x−7=0

Step 3: Factor left side of equation.

(x−1)(x+7)=0

Step 4: Set factors equal to 0.

x−1=0 or x+7=0

x=1 or x=−7

Answer:x=1 or x=−7

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