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Simplifying x(x + -5) = x2 + 4x + 7 Reorder the terms: x(-5 + x) = x2 + 4x + 7 (-5 * x + x * x) = x2 + 4x + 7 (-5x + x2) = x2 + 4x + 7 Reorder the terms: -5x + x2 = 7 + 4x + x2 Add '-1x2' to each side of the equation. -5x + x2 + -1x2 = 7 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x + 0 = 7 + 4x + x2 + -1x2 -5x = 7 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x = 7 + 4x + 0 -5x = 7 + 4x Solving -5x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5x + -4x = 7 + 4x + -4x Combine like terms: -5x + -4x = -9x -9x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -9x = 7 + 0 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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