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