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