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Simplifying (5 + -2x)(5 + 2x) + 4x(x + -1) = 17x Multiply (5 + -2x) * (5 + 2x) (5(5 + 2x) + -2x * (5 + 2x)) + 4x(x + -1) = 17x ((5 * 5 + 2x * 5) + -2x * (5 + 2x)) + 4x(x + -1) = 17x ((25 + 10x) + -2x * (5 + 2x)) + 4x(x + -1) = 17x (25 + 10x + (5 * -2x + 2x * -2x)) + 4x(x + -1) = 17x (25 + 10x + (-10x + -4x2)) + 4x(x + -1) = 17x Combine like terms: 10x + -10x = 0 (25 + 0 + -4x2) + 4x(x + -1) = 17x (25 + -4x2) + 4x(x + -1) = 17x Reorder the terms: 25 + -4x2 + 4x(-1 + x) = 17x 25 + -4x2 + (-1 * 4x + x * 4x) = 17x 25 + -4x2 + (-4x + 4x2) = 17x Reorder the terms: 25 + -4x + -4x2 + 4x2 = 17x Combine like terms: -4x2 + 4x2 = 0 25 + -4x + 0 = 17x 25 + -4x = 17x Solving 25 + -4x = 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 25 + -4x + -17x = 17x + -17x Combine like terms: -4x + -17x = -21x 25 + -21x = 17x + -17x Combine like terms: 17x + -17x = 0 25 + -21x = 0 Add '-25' to each side of the equation. 25 + -25 + -21x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -21x = 0 + -25 -21x = 0 + -25 Combine like terms: 0 + -25 = -25 -21x = -25 Divide each side by '-21'. x = 1.19047619 Simplifying x = 1.19047619
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