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Simplifying x2 + 2x + -6 = x2 + -3x + -31 Reorder the terms: -6 + 2x + x2 = x2 + -3x + -31 Reorder the terms: -6 + 2x + x2 = -31 + -3x + x2 Add '-1x2' to each side of the equation. -6 + 2x + x2 + -1x2 = -31 + -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 2x + 0 = -31 + -3x + x2 + -1x2 -6 + 2x = -31 + -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 2x = -31 + -3x + 0 -6 + 2x = -31 + -3x Solving -6 + 2x = -31 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 2x + 3x = -31 + -3x + 3x Combine like terms: 2x + 3x = 5x -6 + 5x = -31 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 5x = -31 + 0 -6 + 5x = -31 Add '6' to each side of the equation. -6 + 6 + 5x = -31 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -31 + 6 5x = -31 + 6 Combine like terms: -31 + 6 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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