app progresslearning com/middleSchool/studyPlan/MzA1NTc1/TGluZWFyJTIwRXF1YXRpb25zJTlwJTI2JTlwSW5IcXVhbGl0aWVZ.JTWBJJ Solving the equation \( 6 x+2(x-1)=30 \) Given: \( 6 \mathrm{x}+2(\mathrm{x}-1)=30 \) Step 1: \( 6 x+2 x-2=30 \) Step 2: \( 8 x-2=30 \) Step 3: 8x \( -2+2=30+2 \) Step 4: \( \frac{87}{8}=\frac{32}{8} \) Step 5: \( x=4 \) A Distributive Property B Substitution Property C Symmetric Property D Multiplication Property Identify the property that justifies Step 3 when s equation. A Reflexive Property B Addition Property C Substitution Property D Multiplication Property

In Step 3, the equation \( 8x - 2 + 2 = 30 + 2 \) showcases the clever application of the Addition Property. This property allows us to add the same value to both sides of an equation without changing its equality. It's like balancing a seesaw; whatever you do to one side, you must do to the other to achieve equilibrium! Let's take a closer look at how equations like this show up in everyday life! Suppose you're budgeting for a party; you have costs on one side of your budget and money coming in on the other. Using principles similar to those in algebra, you'd adjust your expenses or income until those two sides are balanced, ensuring a successful celebration without any financial surprises!