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you do: find x if df is 29.

Question

you do: find x if df is 29.

Explanation:

Step1: Set up the equation

The length of \( DF \) is the sum of \( DE \) and \( EF \). So, \( x + (3x - 3) = 29 \).

Step2: Combine like terms

Simplify the left side: \( x + 3x - 3 = 4x - 3 \), so the equation becomes \( 4x - 3 = 29 \).

Step3: Solve for x

Add 3 to both sides: \( 4x - 3 + 3 = 29 + 3 \), which simplifies to \( 4x = 32 \). Then divide both sides by 4: \( \frac{4x}{4} = \frac{32}{4} \), so \( x = 8 \).

Answer:

\( x = 8 \)