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Simplifying x2 + -8x = x(5 + x) Reorder the terms: -8x + x2 = x(5 + x) -8x + x2 = (5 * x + x * x) -8x + x2 = (5x + x2) Add '-1x2' to each side of the equation. -8x + x2 + -1x2 = 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8x + 0 = 5x + x2 + -1x2 -8x = 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8x = 5x + 0 -8x = 5x Solving -8x = 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. -8x + -5x = 5x + -5x Combine like terms: -8x + -5x = -13x -13x = 5x + -5x Combine like terms: 5x + -5x = 0 -13x = 0 Divide each side by '-13'. x = 0 Simplifying x = 0
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