The phrase "a simplified system" is grammatically correct and can be used in written English.
It means a system that has been made easier to understand or use. Example: The company implemented a simplified system for their employees to submit their expense reports, which helped to streamline the process and save time.
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We need a simplified system which enables people to be prescribed housing support quickly.
"It's a simplified system, like a Lego system, where it's simple pieces used in different ways".
"The goal was a simplified system," said Antonis Mouzakis, a prominent tax accountant in Athens.
A scheme under which small businesses can use a simplified system for filing tax returns has been widened.
Customers will find more user-friendly applications and a simplified system that walks them through the steps of applying for a loan.
An Amazon spokesman described today's sales taxes as "very complex," but said the company would welcome a "simplified system, fairly applied to all business models".
Responding to criticism, Facebook revised its privacy policy again in May 2010, with a simplified system that consolidated privacy settings onto a single page.
Under a simplified system, we would not have to track and report individual expenses or worry if we missed a deduction that would legally entitle us to a lower tax.
From his bully pulpit, he crusaded against "race suicide," prompted by his alarm at falling birth rates among white Americans, and he tried to get the country to adopt a simplified system of spelling.
We're presenting websites with only a simplified system configuration.
The centrepiece of the Walking Egg's mission is a simplified system for egg fertilisation.
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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