To solve this problem, we need to determine the value of x, which represents the shipping fee at Guitar Center.
Let's break down the information given:
Suggested retail price of the guitar: $1000
Discount at Guitar Center: 15%
Shipping fee at Guitar Center: x
Discount at Sweetwater: 10%
Difference in savings between the two stores: $50
We can set up the equation as follows:
Suggested retail price of the guitar * (1 - Discount at Guitar Center) + Shipping fee at Guitar Center = Suggested retail price of the guitar * (1 - Discount at Sweetwater)
$1000 * (1 - 0.15) + x = $1000 * (1 - 0.10) + $50
Let's simplify and solve for x:
$1000 * 0.85 + x = $1000 * 0.90 + $50
$850 + x = $900 + $50
To isolate x, we subtract $850 from both sides of the equation:
$850 - $850 + x = $900 - $850 + $50
x = $100
The value of x is $100.
#### 100
The answer is: 100
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Silvia wants to buy a new guitar online. The price of the guitar has a suggested retail price of $1000. Guitar Center has a special deal of 15% off but has a shipping fee of x. Sweetwater has a 10% off deal with free shipping. She will save 50 by buying from the cheaper store compared to the other store.

### Answer:
