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Simplifying 5x(x + 5) + -11 = 5x2 + 22x + 1 Reorder the terms: 5x(5 + x) + -11 = 5x2 + 22x + 1 (5 * 5x + x * 5x) + -11 = 5x2 + 22x + 1 (25x + 5x2) + -11 = 5x2 + 22x + 1 Reorder the terms: -11 + 25x + 5x2 = 5x2 + 22x + 1 Reorder the terms: -11 + 25x + 5x2 = 1 + 22x + 5x2 Add '-5x2' to each side of the equation. -11 + 25x + 5x2 + -5x2 = 1 + 22x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -11 + 25x + 0 = 1 + 22x + 5x2 + -5x2 -11 + 25x = 1 + 22x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -11 + 25x = 1 + 22x + 0 -11 + 25x = 1 + 22x Solving -11 + 25x = 1 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -11 + 25x + -22x = 1 + 22x + -22x Combine like terms: 25x + -22x = 3x -11 + 3x = 1 + 22x + -22x Combine like terms: 22x + -22x = 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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