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3. 16 = 16 + 4.5x + 5x combine like terms to rewrite the equation in tw…

Question

  1. 16 = 16 + 4.5x + 5x

combine like terms to rewrite the equation in two - step form.
16 = \square + 16
follow steps to isolate the variable.

Explanation:

Step1: Combine like terms

First, we combine the \(x\)-terms on the right side of the equation \(16 = 16 + 4.5x + 5x\). Combining \(4.5x\) and \(5x\) gives \(4.5x + 5x = 9.5x\). So the equation becomes \(16 = 16 + 9.5x\).

Step2: Subtract 16 from both sides

To isolate the term with \(x\), we subtract 16 from both sides of the equation. So \(16 - 16 = 16 + 9.5x - 16\), which simplifies to \(0 = 9.5x\).

Step3: Solve for \(x\)

Now, we divide both sides by 9.5 to solve for \(x\). So \(x=\frac{0}{9.5}=0\).

Answer:

\(x = 0\)