A project coordinator is verifying a budget allocation model using the linear equation ${}4x - 2 = 2x + 1$. They are testing if an adjustment factor of $x = -\frac{1}{2}$ satisfies the model. After completing the three-step determination strategy, which mathematical result do they obtain to conclude that the value is not a solution?

A project budget analyst is verifying an automated cost-estimation formula: ${}4x - 2 = 2x + 1$. They need to determine if a proposed adjustment factor of $x = -\frac{1}{2}$ is a valid solution using the three-step determination strategy. Arrange the following steps in the correct order as they appear in that strategy.

An HVAC technician is using the linear equation ${}4x - 2 = 2x + 1$ to calibrate a digital thermostat. True or False: Substituting $x = -\frac{1}{2}$ into this equation results in a true mathematical statement, confirming that it is a valid solution.

An inventory coordinator is verifying a logistics formula using the linear equation ${}4x - 2 = 2x + 1$. To confirm if a proposed adjustment factor of $x = -\frac{1}{2}$ is a valid solution, they must follow the three-step determination strategy. Match each step of this strategy with the specific action required for verification.

A supply chain analyst is checking if a discrepancy factor of $x = -\frac{1}{2}$ satisfies the expected inventory equation ${}4x - 2 = 2x + 1$. After completing the substitution step, they simplify both sides of the equation. They find that the left side evaluates to ____ and the right side evaluates to 0, which is a false statement and demonstrates the factor is not a valid solution.