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Simplifying x(x + -3) + -1x(x + 5) + 6 = -2 Reorder the terms: x(-3 + x) + -1x(x + 5) + 6 = -2 (-3 * x + x * x) + -1x(x + 5) + 6 = -2 (-3x + x2) + -1x(x + 5) + 6 = -2 Reorder the terms: -3x + x2 + -1x(5 + x) + 6 = -2 -3x + x2 + (5 * -1x + x * -1x) + 6 = -2 -3x + x2 + (-5x + -1x2) + 6 = -2 Reorder the terms: 6 + -3x + -5x + x2 + -1x2 = -2 Combine like terms: -3x + -5x = -8x 6 + -8x + x2 + -1x2 = -2 Combine like terms: x2 + -1x2 = 0 6 + -8x + 0 = -2 6 + -8x = -2 Solving 6 + -8x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -8x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = -2 + -6 -8x = -2 + -6 Combine like terms: -2 + -6 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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