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"balanced equilibrium" is correct and can be used in written English.
You can use this phrase when referring to an even state between two opposing forces that remain in balance. For example, "The growth in the economy is dependent on a balanced equilibrium between the number of jobs in the market and the number of people looking for them."
Exact(11)
Leaving aside political positions, we believe that there is a quantitative, tangible reason why simply eliminating biases (i.e., Equal Opportunity) is not sufficient, if one's goal is to achieve a new, more balanced equilibrium.
For me, medication is a part of a more comprehensive treatment plan to avoid falling back into the throes of the major depression that I know always lingers beneath the surface of my delicately balanced equilibrium.
Hence it has been named "premunition" in order to reflect this incomplete effect and a delicately balanced equilibrium [2].
Based on the linearized equations, the stability of the ball balancer around the balanced equilibrium position is analyzed.
This study shows that the automatic ball balancer can achieve the balancing of a rotor with a flexible shaft if the system parameters of the balancer satisfy the stability conditions for the balanced equilibrium position.
From the derived nonlinear equations, the linearized equations of motion in the neighbourhood of a balanced equilibrium position are obtained by the perturbation method.
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An externally imposed decreasing temperature profile may be employed to enhance exothermic, equilibrium-limited chemical reactions by continuously balancing equilibrium limitations against kinetics along the reactor length, in comparison to isothermal operation.
We also assume the absence of any international capital markets; therefore, trade should be balanced in equilibrium.
According to this model, an excess of refined carbohydrates interferes with the self-balancing equilibrium of the metabolic system.
This cranial nerve has a vestibular part, which functions in balance, equilibrium, and orientation in three-dimensional space, and a cochlear part, which functions in hearing.
Human ear, organ of hearing and equilibrium that detects and analyzes sound by transduction (or the conversion of sound waves into electrochemical impulses) and maintains the sense of balance (equilibrium).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com