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Simplifying x2 + 6x + 9 + -24 = x2 + -6x + 9 Reorder the terms: 9 + -24 + 6x + x2 = x2 + -6x + 9 Combine like terms: 9 + -24 = -15 -15 + 6x + x2 = x2 + -6x + 9 Reorder the terms: -15 + 6x + x2 = 9 + -6x + x2 Add '-1x2' to each side of the equation. -15 + 6x + x2 + -1x2 = 9 + -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15 + 6x + 0 = 9 + -6x + x2 + -1x2 -15 + 6x = 9 + -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15 + 6x = 9 + -6x + 0 -15 + 6x = 9 + -6x Solving -15 + 6x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -15 + 6x + 6x = 9 + -6x + 6x Combine like terms: 6x + 6x = 12x -15 + 12x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 12x = 9 + 0 -15 + 12x = 9 Add '15' to each side of the equation. -15 + 15 + 12x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = 9 + 15 12x = 9 + 15 Combine like terms: 9 + 15 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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