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Simplifying x(x + 2) = x(x + 3) Reorder the terms: x(2 + x) = x(x + 3) (2 * x + x * x) = x(x + 3) (2x + x2) = x(x + 3) Reorder the terms: 2x + x2 = x(3 + x) 2x + x2 = (3 * x + x * x) 2x + x2 = (3x + x2) Add '-1x2' to each side of the equation. 2x + x2 + -1x2 = 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x + 0 = 3x + x2 + -1x2 2x = 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x = 3x + 0 2x = 3x Solving 2x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2x + -3x = 3x + -3x Combine like terms: 2x + -3x = -1x -1x = 3x + -3x Combine like terms: 3x + -3x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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