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Simplifying 6x(e + 5) = 0 Reorder the terms: 6x(5 + e) = 0 (5 * 6x + e * 6x) = 0 Reorder the terms: (6ex + 30x) = 0 (6ex + 30x) = 0 Solving 6ex + 30x = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-30x' to each side of the equation. 6ex + 30x + -30x = 0 + -30x Combine like terms: 30x + -30x = 0 6ex + 0 = 0 + -30x 6ex = 0 + -30x Remove the zero: 6ex = -30x Divide each side by '6x'. e = -5 Simplifying e = -5
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