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Simplifying (x2 + -3x + -4) + -1(x2 + 3x + -7) = 0 Reorder the terms: (-4 + -3x + x2) + -1(x2 + 3x + -7) = 0 Remove parenthesis around (-4 + -3x + x2) -4 + -3x + x2 + -1(x2 + 3x + -7) = 0 Reorder the terms: -4 + -3x + x2 + -1(-7 + 3x + x2) = 0 -4 + -3x + x2 + (-7 * -1 + 3x * -1 + x2 * -1) = 0 -4 + -3x + x2 + (7 + -3x + -1x2) = 0 Reorder the terms: -4 + 7 + -3x + -3x + x2 + -1x2 = 0 Combine like terms: -4 + 7 = 3 3 + -3x + -3x + x2 + -1x2 = 0 Combine like terms: -3x + -3x = -6x 3 + -6x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 3 + -6x + 0 = 0 3 + -6x = 0 Solving 3 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -6x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 0 + -3 -6x = 0 + -3 Combine like terms: 0 + -3 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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