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Chapter 0: Problem 155

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$x-0.02(x+200)=0.98 x-4$$

Short Answer

Expert verified
The statement \(x-0.02(x+200)=0.98 x-4\) is true. No changes are needed.

Step by step solution

01

Simplify the Left-Hand Side (LHS)

First, distribute the \(-0.02\) in \(-0.02(x+200)\) to obtain \(x-0.02x-4\) which further simplifies to \(0.98x-4\).
02

Compare Both Sides

Now compare both sides of the equation: The LHS \(0.98x-4\) is equal to the right hand side (RHS) \(0.98x-4\).
03

Conclude the Equation鈥檚 Validity

As the LHS and the RHS of the equation are equal, the statement is true. There's no need to make any modifications.

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