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Simplifying x(x + -7) = x2 + 4x + 2 Reorder the terms: x(-7 + x) = x2 + 4x + 2 (-7 * x + x * x) = x2 + 4x + 2 (-7x + x2) = x2 + 4x + 2 Reorder the terms: -7x + x2 = 2 + 4x + x2 Add '-1x2' to each side of the equation. -7x + x2 + -1x2 = 2 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7x + 0 = 2 + 4x + x2 + -1x2 -7x = 2 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7x = 2 + 4x + 0 -7x = 2 + 4x Solving -7x = 2 + 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. -7x + -4x = 2 + 4x + -4x Combine like terms: -7x + -4x = -11x -11x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -11x = 2 + 0 -11x = 2 Divide each side by '-11'. x = -0.1818181818 Simplifying x = -0.1818181818
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