Certainly! Let's examine the steps provided to determine the property used between each transition.
Step 1:
[tex]\[ 5(x-7) = 55 \][/tex]
Step 2:
[tex]\[ 5x - 35 = 55 \][/tex]
To go from Step 1 to Step 2, we use the distributive property. The distributive property states that [tex]\( a(b + c) = ab + ac \)[/tex]. In this case, we distribute the 5 across the terms inside the parentheses:
[tex]\[ 5 \cdot x - 5 \cdot 7 = 55 \][/tex]
[tex]\[ 5x - 35 = 55 \][/tex]
Hence, the property used between Step 1 and Step 2 is the distributive property.
