IndietroSolving Linear Equations Using Properties of Equality
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Q1. Solve the equation and check:
Background
Topic: Linear Equations and Properties of Equality
This question tests your ability to solve a linear equation by applying the distributive property, combining like terms, and isolating the variable using properties of equality.
Key Terms and Formulas:
Distributive Property:
Addition Property of Equality: If , then
Combining Like Terms: Grouping terms with the same variable or constant
Step-by-Step Guidance
Apply the distributive property to remove parentheses on the right side: becomes .
Rewrite the equation: .
Use the addition property of equality to isolate the variable. Subtract from both sides: .
Combine like terms to simplify: .
Try solving on your own before revealing the answer!

Final Answer:
Subtract $21xx = 63 - 21 = 42$.
To check, substitute back into the original equation and verify both sides are equal.