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Simplifying x(x + -1) + -1x(x + 2) = 7 Reorder the terms: x(-1 + x) + -1x(x + 2) = 7 (-1 * x + x * x) + -1x(x + 2) = 7 (-1x + x2) + -1x(x + 2) = 7 Reorder the terms: -1x + x2 + -1x(2 + x) = 7 -1x + x2 + (2 * -1x + x * -1x) = 7 -1x + x2 + (-2x + -1x2) = 7 Reorder the terms: -1x + -2x + x2 + -1x2 = 7 Combine like terms: -1x + -2x = -3x -3x + x2 + -1x2 = 7 Combine like terms: x2 + -1x2 = 0 -3x + 0 = 7 -3x = 7 Solving -3x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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