Here are the essential concepts you must grasp in order to answer the question correctly.
Linear Equations
Linear equations are mathematical statements that express the equality of two linear expressions. They typically take the form ax + b = c, where a, b, and c are constants, and x is the variable. Understanding how to manipulate these equations is essential for finding the value of x that satisfies the equation.
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Common Denominator
When dealing with fractions in linear equations, finding a common denominator is crucial for simplifying the equation. The common denominator allows you to eliminate the fractions by multiplying each term by this value, making it easier to solve for the variable. This step is particularly important when the equation contains multiple fractions.
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Isolating the Variable
Isolating the variable involves rearranging the equation to get the variable (in this case, x) on one side and all other terms on the opposite side. This process often includes combining like terms and performing inverse operations. Successfully isolating the variable is the final step in solving the equation and finding its solution.
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