A logistics coordinator is using the equation ${}3(x + 2) + 4 = 4(2x - 1) + 9$ to balance the workload between two distribution centers. Arrange the following steps in the correct logical order to solve for the variable $x$.

An operations analyst at a manufacturing plant is modeling the throughput of two assembly lines using the equation ${}3(x + 2) + 4 = 4(2x - 1) + 9$. According to the standard procedure for solving this equation, which of the following represents the correctly simplified equation after applying the distributive property and combining constant terms on both sides?

A retail operations manager is documenting the standard procedure for balancing inventory costs across two departments using the equation ${}3(x + 2) + 4 = 4(2x - 1) + 9$. Match each algebraic term or process with its specific role in the solution of this equation.

A procurement officer is using the linear equation ${}3(x + 2) + 4 = 4(2x - 1) + 9$ to compare unit costs between two suppliers. After applying the distributive property to the right side of the equation, the expression becomes ${}8x - 4 + 9$. What is the resulting constant value when the terms -4 and 9 are combined? ____

Verifying a Solution in Production Balancing

A project estimator is modeling the project completion timelines of two consulting teams using the linear equation ${}3(x + 2) + 4 = 4(2x - 1) + 9$, where $x$ represents the scheduled weekly milestones. In the standard algebraic procedure for solving this equation, applying the distributive property to eliminate the parentheses on both sides yields the expanded equation ${}3x + 6 + 4 = 8x - 4 + 9$.