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Simplifying 5x(a + 1) = 0 Reorder the terms: 5x(1 + a) = 0 (1 * 5x + a * 5x) = 0 Reorder the terms: (5ax + 5x) = 0 (5ax + 5x) = 0 Solving 5ax + 5x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5x' to each side of the equation. 5ax + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 5ax + 0 = 0 + -5x 5ax = 0 + -5x Remove the zero: 5ax = -5x Divide each side by '5x'. a = -1 Simplifying a = -1
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