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Simplifying 7x(a + 5) + -30 = 0 Reorder the terms: 7x(5 + a) + -30 = 0 (5 * 7x + a * 7x) + -30 = 0 Reorder the terms: (7ax + 35x) + -30 = 0 (7ax + 35x) + -30 = 0 Reorder the terms: -30 + 7ax + 35x = 0 Solving -30 + 7ax + 35x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 7ax + 30 + 35x = 0 + 30 Reorder the terms: -30 + 30 + 7ax + 35x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 7ax + 35x = 0 + 30 7ax + 35x = 0 + 30 Combine like terms: 0 + 30 = 30 7ax + 35x = 30 Add '-35x' to each side of the equation. 7ax + 35x + -35x = 30 + -35x Combine like terms: 35x + -35x = 0 7ax + 0 = 30 + -35x 7ax = 30 + -35x Divide each side by '7x'. a = 4.285714286x-1 + -5 Simplifying a = 4.285714286x-1 + -5 Reorder the terms: a = -5 + 4.285714286x-1
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