If arithmetic mean of 6, 7, 9, x is 10, then value of x is ________.

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{"content":[{"content":[{"marks":[{"type":"bold"}],"text":"Step 1 (Arithmetic Mean Formula):","type":"text"},{"text":" The arithmetic mean of four numbers is their sum divided by 4:","type":"text"}],"type":"paragraph"},{"attrs":{"latex":"\text{Mean} = \frac{6 + 7 + 9 + x}{4}"},"type":"math_block"},{"content":[{"marks":[{"type":"bold"}],"text":"Step 2 (Set up the Equation):","type":"text"},{"text":" We are given the mean is 10:","type":"text"}],"type":"paragraph"},{"attrs":{"latex":"\frac{22 + x}{4} = 10"},"type":"math_block"},{"content":[{"marks":[{"type":"bold"}],"text":"Step 3 (Solve for x):","type":"text"},{"text":" Multiply both sides by 4:","type":"text"}],"type":"paragraph"},{"attrs":{"latex":"22 + x = 40"},"type":"math_block"},{"type":"math_block","attrs":{"latex":"x = 40 - 22 = 18"}},{"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Step 4 (Conclusion):"},{"text":" The value of ","type":"text"},{"attrs":{"latex":"x"},"type":"math_inline"},{"text":" is exactly ","type":"text"},{"marks":[{"type":"code"}],"text":"18","type":"text"},{"text":".","type":"text"}],"type":"paragraph"}],"type":"doc"}

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