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Simplifying x(x + 2) = x(5 + x) Reorder the terms: x(2 + x) = x(5 + x) (2 * x + x * x) = x(5 + x) (2x + x2) = x(5 + x) 2x + x2 = (5 * x + x * x) 2x + x2 = (5x + x2) Add '-1x2' to each side of the equation. 2x + x2 + -1x2 = 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x + 0 = 5x + x2 + -1x2 2x = 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x = 5x + 0 2x = 5x Solving 2x = 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. 2x + -5x = 5x + -5x Combine like terms: 2x + -5x = -3x -3x = 5x + -5x Combine like terms: 5x + -5x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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