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