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Simplifying x2 + 2x + -5 + -3x + 2 = x2 + -1 Reorder the terms: -5 + 2 + 2x + -3x + x2 = x2 + -1 Combine like terms: -5 + 2 = -3 -3 + 2x + -3x + x2 = x2 + -1 Combine like terms: 2x + -3x = -1x -3 + -1x + x2 = x2 + -1 Reorder the terms: -3 + -1x + x2 = -1 + x2 Add '-1x2' to each side of the equation. -3 + -1x + x2 + -1x2 = -1 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + -1x + 0 = -1 + x2 + -1x2 -3 + -1x = -1 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + -1x = -1 + 0 -3 + -1x = -1 Solving -3 + -1x = -1 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 + -1x = -1 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -1 + 3 -1x = -1 + 3 Combine like terms: -1 + 3 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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