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