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Solve the linear equation 2x + 5 = 12 to find the value of x. The solution involves isolating x by subtracting and dividing.

Solve for X in the equation X = √(100² - 96²). This problem involves simplifying the expression using the difference of squares formula and calculating the square root.

The equation (X-1)^2 = X-1 has two solutions, X = 1 and X = 2.

Solve the given system of linear equations by using the elimination method to find the values of x and y.

Solve the equation involving division of fractions and find the value of X.

The solutions to the equation \sqrt{5x^2-6x+8} - \sqrt{5x^2-6x-7} = 1 are x = 4 and x = -14/5.

The provided text contains a detailed solution to various integration problems, including trigonometric substitutions, partial fraction decomposition, and integration by parts. It also demonstrates the use of properties of definite integrals to simplify calculations.

The area of a square with side length 3 is 9.

The solution calculates quartiles, deciles, percentiles, and the coefficient of skewness for a dataset of 21 values. It determines the dataset is negatively skewed.

The solution calculates the range, arithmetic mean, population variance, and standard deviation of the annual incomes of five vice presidents.