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Simplifying (a + 5) * x + -8 = 0 Reorder the terms: (5 + a) * x + -8 = 0 Reorder the terms for easier multiplication: x(5 + a) + -8 = 0 (5 * x + a * x) + -8 = 0 Reorder the terms: (ax + 5x) + -8 = 0 (ax + 5x) + -8 = 0 Reorder the terms: -8 + ax + 5x = 0 Solving -8 + ax + 5x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + ax + 8 + 5x = 0 + 8 Reorder the terms: -8 + 8 + ax + 5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + ax + 5x = 0 + 8 ax + 5x = 0 + 8 Combine like terms: 0 + 8 = 8 ax + 5x = 8 Add '-5x' to each side of the equation. ax + 5x + -5x = 8 + -5x Combine like terms: 5x + -5x = 0 ax + 0 = 8 + -5x ax = 8 + -5x Divide each side by 'x'. a = 8x-1 + -5 Simplifying a = 8x-1 + -5 Reorder the terms: a = -5 + 8x-1
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