Question

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Part 1
Solve the equation. Be sure to check your solution.
negative 30 equals x minus 45−30=x−45

Answers

Answered by GPT-4o mini
To solve the equation \(-30 = x - 45\), follow these steps:

### Step 1: Isolate \(x\)
Add 45 to both sides of the equation to isolate \(x\):

\[
-30 + 45 = x - 45 + 45
\]

This simplifies to:

\[
15 = x
\]

### Step 2: Solution
Thus, the solution is:

\[
x = 15
\]

### Step 3: Check the Solution
To check, substitute \(x = 15\) back into the original equation:

\[
-30 = 15 - 45
\]

Calculating the right side:

\[
15 - 45 = -30
\]

Since both sides of the equation are equal, the solution is verified.

### Final Answer
Therefore, the solution is:

\[
x = 15
\]

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