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Simplifying (2x + -1) + e(x + -5) = -2(2x + 1) Reorder the terms: (-1 + 2x) + e(x + -5) = -2(2x + 1) Remove parenthesis around (-1 + 2x) -1 + 2x + e(x + -5) = -2(2x + 1) Reorder the terms: -1 + 2x + e(-5 + x) = -2(2x + 1) -1 + 2x + (-5 * e + x * e) = -2(2x + 1) -1 + 2x + (-5e + ex) = -2(2x + 1) Reorder the terms: -1 + -5e + ex + 2x = -2(2x + 1) Reorder the terms: -1 + -5e + ex + 2x = -2(1 + 2x) -1 + -5e + ex + 2x = (1 * -2 + 2x * -2) -1 + -5e + ex + 2x = (-2 + -4x) Solving -1 + -5e + ex + 2x = -2 + -4x 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 + -5e + ex + 1 + 2x = -2 + 1 + -4x Reorder the terms: -1 + 1 + -5e + ex + 2x = -2 + 1 + -4x Combine like terms: -1 + 1 = 0 0 + -5e + ex + 2x = -2 + 1 + -4x -5e + ex + 2x = -2 + 1 + -4x Combine like terms: -2 + 1 = -1 -5e + ex + 2x = -1 + -4x Add '-2x' to each side of the equation. -5e + ex + 2x + -2x = -1 + -4x + -2x Combine like terms: 2x + -2x = 0 -5e + ex + 0 = -1 + -4x + -2x -5e + ex = -1 + -4x + -2x Combine like terms: -4x + -2x = -6x -5e + ex = -1 + -6x Reorder the terms: 1 + -5e + ex + 6x = -1 + -6x + 1 + 6x Reorder the terms: 1 + -5e + ex + 6x = -1 + 1 + -6x + 6x Combine like terms: -1 + 1 = 0 1 + -5e + ex + 6x = 0 + -6x + 6x 1 + -5e + ex + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 1 + -5e + ex + 6x = 0 The solution to this equation could not be determined.
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