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Simplifying (x2 + 2x + -3) + -1(x2 + 3x + -4) = 0 Reorder the terms: (-3 + 2x + x2) + -1(x2 + 3x + -4) = 0 Remove parenthesis around (-3 + 2x + x2) -3 + 2x + x2 + -1(x2 + 3x + -4) = 0 Reorder the terms: -3 + 2x + x2 + -1(-4 + 3x + x2) = 0 -3 + 2x + x2 + (-4 * -1 + 3x * -1 + x2 * -1) = 0 -3 + 2x + x2 + (4 + -3x + -1x2) = 0 Reorder the terms: -3 + 4 + 2x + -3x + x2 + -1x2 = 0 Combine like terms: -3 + 4 = 1 1 + 2x + -3x + x2 + -1x2 = 0 Combine like terms: 2x + -3x = -1x 1 + -1x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 1 + -1x + 0 = 0 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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