answer this questions detailed---**Question Number:** 5.
**Textual Information:**
* a, b ve c pozitif gerçek sayılar olmak üzere
* gösteriminin değeri a • (b + c) sayısına eşittir.
* olduğuna göre x kaçtır?
**Image Description:**
* **Definition Image:** A circular shape divided into three sections (approximately sectors). The top-left section contains the label 'a'. The bottom-left section contains the label 'b'. The right section contains the label 'c'. This image defines how the three variables in these positions relate to the expression a * (b + c).
* **Equation Image 1:** A circular shape divided into four sections. The top-left section contains the number 8. The bottom-left section contains the number 7. The bottom-right section contains the number 6. The top-right section is empty.
* **Operator:** A minus sign (-) is placed between the first and second equation images.
* **Equation Image 2:** A circular shape divided into four sections. The top-left section contains the number 6. The bottom-left section contains the number 5. The bottom-right section contains the number 4. The top-right section is empty.
* **Operator:** An equals sign (=) is placed between the second and third equation images.
* **Equation Image 3:** A circular shape divided into four sections. The top-left section contains the variable 'x'. The bottom-left section contains the variable 'x'. The bottom-right section contains the variable 'x'. The top-right section is empty.
**Equation Representation:**
Based on the definition image and the equation images, the operation seems to correspond to the top-left value multiplied by the sum of the bottom-left and bottom-right values. Applying this to the equation images:
(Value from Image 1) - (Value from Image 2) = (Value from Image 3)
Image 1: a=8, b=7, c=6. Value = 8 * (7 + 6)
Image 2: a=6, b=5, c=4. Value = 6 * (5 + 4)
Image 3: a=x, b=x, c=x. Value = x * (x + x)
So the equation is:
8 * (7 + 6) - 6 * (5 + 4) = x * (x + x)
**Options:**
A) 1
B) 2
C) 3
D) 4
E) 5
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Let's understand this mathematical problem step by step. We have a special symbol operation where three values a, b, and c are arranged in a circular diagram. The operation is defined as a times the sum of b plus c. We need to use this definition to solve an equation and find the value of x.