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Problem: Solve the equation \(2x + 5 = 15\)
Solution: \(x = 5\)
Problem: Solve \(x^2 - 4x + 4 = 0\)
Solution: \(x = 2\) (double root)
Problem: \(3(x - 2) = 2(x + 1)\)
Solution: \(x = 8\)
Problem: Solve \(x^2 + 6x + 9 = 0\)
Solution: \(x = -3\) (double root)
Problem: Simplify the expression \(3x + 5x - 7\)
Solution: \(8x - 7\)
Problem: Find the perimeter of a rectangle with length \(10\) and width \(5\).
Solution: \(P = 2(10 + 5) = 30\)
Problem: Find the hypotenuse of a right triangle with sides \(3\) and \(4\).
Solution: \(c = \sqrt{3^2 + 4^2} = 5\)
Problem: Calculate the area of a circle with radius \(r = 7\).
Solution: \(A = \pi r^2 = 49\pi\)
Problem: Find the area of a trapezoid with bases \(a = 6\), \(b = 8\), and height \(h = 5\).
Solution: \(A = \frac{1}{2}(a + b)h = 35\)
Problem: Solve \(2x + 3 = 7x - 5\).
Solution: \(x = 8/5\)
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Solution: \(x = 2\)
Solution: \(A = 25\pi\)
Solution: \(25\)