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Simplifying (x2 + -3x + 4) + -1(x2 + 2x + 5) = 0 Reorder the terms: (4 + -3x + x2) + -1(x2 + 2x + 5) = 0 Remove parenthesis around (4 + -3x + x2) 4 + -3x + x2 + -1(x2 + 2x + 5) = 0 Reorder the terms: 4 + -3x + x2 + -1(5 + 2x + x2) = 0 4 + -3x + x2 + (5 * -1 + 2x * -1 + x2 * -1) = 0 4 + -3x + x2 + (-5 + -2x + -1x2) = 0 Reorder the terms: 4 + -5 + -3x + -2x + x2 + -1x2 = 0 Combine like terms: 4 + -5 = -1 -1 + -3x + -2x + x2 + -1x2 = 0 Combine like terms: -3x + -2x = -5x -1 + -5x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 -1 + -5x + 0 = 0 -1 + -5x = 0 Solving -1 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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