Solve 4x + 4 = 4 elevated 2. Group of answer choices 8 -2 4 2

Let's solve the equation step by step:

Given:
\[
4x + 4 = 4^2
\]

1. First, simplify the right-hand side:
\[
4^2 = 16
\]
So, the equation becomes:
\[
4x + 4 = 16
\]

2. Subtract 4 from both sides to isolate the term with \(x\):
\[
4x = 16 - 4
\]
\[
4x = 12
\]

3. Divide both sides by 4 to solve for \(x\):
\[
x = \frac{12}{4} = 3
\]

Thus, the solution is:
\[
x = 3
\]

However, none of the answer choices match this result. Could you clarify if the equation was intended to be different, or if there’s a particular context for these answer choices?

Let me know if you'd like to go over this or have any clarifications!

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Here are 5 questions that can expand on this:

1. How would the solution change if the constant on the right side was 20 instead of \(4^2\)?
2. What happens to the solution if the coefficient of \(x\) is halved?
3. How do you solve the equation if there’s a fractional power involved?
4. Can you express \(4^2\) as a logarithmic equation?
5. How does solving this equation compare to solving a quadratic equation?

**Tip:** Always simplify powers and constants first before isolating the variable for easier calculations!

Explore how to solve the linear equation 4x + 4 = 4^2 with a step-by-step guide. This problem involves simplifying exponents and solving for a variable using algebraic methods. Suitable for students in Grades 6-8.

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