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Simplifying x(x + -2) = x2 + 6x + 7 Reorder the terms: x(-2 + x) = x2 + 6x + 7 (-2 * x + x * x) = x2 + 6x + 7 (-2x + x2) = x2 + 6x + 7 Reorder the terms: -2x + x2 = 7 + 6x + x2 Add '-1x2' to each side of the equation. -2x + x2 + -1x2 = 7 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2x + 0 = 7 + 6x + x2 + -1x2 -2x = 7 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2x = 7 + 6x + 0 -2x = 7 + 6x Solving -2x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2x + -6x = 7 + 6x + -6x Combine like terms: -2x + -6x = -8x -8x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -8x = 7 + 0 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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