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Simplifying (x2 + 5x + -24) + (-1x2 + -4x + 9) = 0 Reorder the terms: (-24 + 5x + x2) + (-1x2 + -4x + 9) = 0 Remove parenthesis around (-24 + 5x + x2) -24 + 5x + x2 + (-1x2 + -4x + 9) = 0 Reorder the terms: -24 + 5x + x2 + (9 + -4x + -1x2) = 0 Remove parenthesis around (9 + -4x + -1x2) -24 + 5x + x2 + 9 + -4x + -1x2 = 0 Reorder the terms: -24 + 9 + 5x + -4x + x2 + -1x2 = 0 Combine like terms: -24 + 9 = -15 -15 + 5x + -4x + x2 + -1x2 = 0 Combine like terms: 5x + -4x = 1x -15 + 1x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 -15 + 1x + 0 = 0 -15 + 1x = 0 Solving -15 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 0 + 15 1x = 0 + 15 Combine like terms: 0 + 15 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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