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Simplifying x(x + -5) = x2 + 7x + 11 Reorder the terms: x(-5 + x) = x2 + 7x + 11 (-5 * x + x * x) = x2 + 7x + 11 (-5x + x2) = x2 + 7x + 11 Reorder the terms: -5x + x2 = 11 + 7x + x2 Add '-1x2' to each side of the equation. -5x + x2 + -1x2 = 11 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x + 0 = 11 + 7x + x2 + -1x2 -5x = 11 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x = 11 + 7x + 0 -5x = 11 + 7x Solving -5x = 11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5x + -7x = 11 + 7x + -7x Combine like terms: -5x + -7x = -12x -12x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 -12x = 11 + 0 -12x = 11 Divide each side by '-12'. x = -0.9166666667 Simplifying x = -0.9166666667
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