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Simplifying x2 + -4x = x(8 + x) Reorder the terms: -4x + x2 = x(8 + x) -4x + x2 = (8 * x + x * x) -4x + x2 = (8x + x2) Add '-1x2' to each side of the equation. -4x + x2 + -1x2 = 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4x + 0 = 8x + x2 + -1x2 -4x = 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4x = 8x + 0 -4x = 8x Solving -4x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4x + -8x = 8x + -8x Combine like terms: -4x + -8x = -12x -12x = 8x + -8x Combine like terms: 8x + -8x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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