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Simplifying 4x(x + 5) + -11 = 4x2 + 17x + 1 Reorder the terms: 4x(5 + x) + -11 = 4x2 + 17x + 1 (5 * 4x + x * 4x) + -11 = 4x2 + 17x + 1 (20x + 4x2) + -11 = 4x2 + 17x + 1 Reorder the terms: -11 + 20x + 4x2 = 4x2 + 17x + 1 Reorder the terms: -11 + 20x + 4x2 = 1 + 17x + 4x2 Add '-4x2' to each side of the equation. -11 + 20x + 4x2 + -4x2 = 1 + 17x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -11 + 20x + 0 = 1 + 17x + 4x2 + -4x2 -11 + 20x = 1 + 17x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -11 + 20x = 1 + 17x + 0 -11 + 20x = 1 + 17x Solving -11 + 20x = 1 + 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. -11 + 20x + -17x = 1 + 17x + -17x Combine like terms: 20x + -17x = 3x -11 + 3x = 1 + 17x + -17x Combine like terms: 17x + -17x = 0 -11 + 3x = 1 + 0 -11 + 3x = 1 Add '11' to each side of the equation. -11 + 11 + 3x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 1 + 11 3x = 1 + 11 Combine like terms: 1 + 11 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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