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Simplifying x(x + 1) + 16 = x(x + 5) Reorder the terms: x(1 + x) + 16 = x(x + 5) (1 * x + x * x) + 16 = x(x + 5) (1x + x2) + 16 = x(x + 5) Reorder the terms: 16 + 1x + x2 = x(x + 5) Reorder the terms: 16 + 1x + x2 = x(5 + x) 16 + 1x + x2 = (5 * x + x * x) 16 + 1x + x2 = (5x + x2) Add '-1x2' to each side of the equation. 16 + 1x + x2 + -1x2 = 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 16 + 1x + 0 = 5x + x2 + -1x2 16 + 1x = 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 16 + 1x = 5x + 0 16 + 1x = 5x Solving 16 + 1x = 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. 16 + 1x + -5x = 5x + -5x Combine like terms: 1x + -5x = -4x 16 + -4x = 5x + -5x Combine like terms: 5x + -5x = 0 16 + -4x = 0 Add '-16' to each side of the equation. 16 + -16 + -4x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = 0 + -16 -4x = 0 + -16 Combine like terms: 0 + -16 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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