Problem preview
MF.EQ.7 Standard MF-034-A06-V01

Solve multi-step linear equations, including equations requiring simplification first.

Solve a fixed multi-step context model

Problem

\(\text{Three}~\text{reserved}~\text{sections}\) each have \(x~\text{regular}~\text{seats}\) plus \(2~\text{aisle}~\text{seats}\), and \(6~\text{back}~\text{seats}\) make \(42\) total. Complete and solve: \(3(x~+~2)~+~6~=~42\); \(x~=~\text{\_\_\_}\).

Big Picture

What this problem is really about

Keep the repeated and fixed seat groups distinct. Each of the three sections repeats both its unknown regular seats and two aisle seats, while the six back seats are added only once. Reverse that structure by removing the back seats, dividing among sections, and then removing one section's aisle seats.

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Four variants of this problem type
Curriculum context
Standard
MF.EQ.7
Category
Pre-Algebra
Domain
Equations
Objective
Solve multi-step linear equations, including equations requiring simplification first.
Problem type
Solve a fixed multi-step context model