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Simplifying exp(-1x) + 1 + -1x = 0 Remove parenthesis around (-1x) epx * -1x + 1 + -1x = 0 Reorder the terms for easier multiplication: -1epx * x + 1 + -1x = 0 Multiply epx * x -1epx2 + 1 + -1x = 0 Reorder the terms: 1 + -1epx2 + -1x = 0 Solving 1 + -1epx2 + -1x = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1epx2 + -1 + -1x = 0 + -1 Reorder the terms: 1 + -1 + -1epx2 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1epx2 + -1x = 0 + -1 -1epx2 + -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1epx2 + -1x = -1 Add 'x' to each side of the equation. -1epx2 + -1x + x = -1 + x Combine like terms: -1x + x = 0 -1epx2 + 0 = -1 + x -1epx2 = -1 + x Divide each side by '-1px2'. e = p-1x-2 + -1p-1x-1 Simplifying e = p-1x-2 + -1p-1x-1
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