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Simplifying x2 + 3x + -3 = x2 + -5x + -27 Reorder the terms: -3 + 3x + x2 = x2 + -5x + -27 Reorder the terms: -3 + 3x + x2 = -27 + -5x + x2 Add '-1x2' to each side of the equation. -3 + 3x + x2 + -1x2 = -27 + -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 3x + 0 = -27 + -5x + x2 + -1x2 -3 + 3x = -27 + -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 3x = -27 + -5x + 0 -3 + 3x = -27 + -5x Solving -3 + 3x = -27 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -3 + 3x + 5x = -27 + -5x + 5x Combine like terms: 3x + 5x = 8x -3 + 8x = -27 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 8x = -27 + 0 -3 + 8x = -27 Add '3' to each side of the equation. -3 + 3 + 8x = -27 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = -27 + 3 8x = -27 + 3 Combine like terms: -27 + 3 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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