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Simplifying 7(a + 5) = 5(a + 1) Reorder the terms: 7(5 + a) = 5(a + 1) (5 * 7 + a * 7) = 5(a + 1) (35 + 7a) = 5(a + 1) Reorder the terms: 35 + 7a = 5(1 + a) 35 + 7a = (1 * 5 + a * 5) 35 + 7a = (5 + 5a) Solving 35 + 7a = 5 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 35 + 7a + -5a = 5 + 5a + -5a Combine like terms: 7a + -5a = 2a 35 + 2a = 5 + 5a + -5a Combine like terms: 5a + -5a = 0 35 + 2a = 5 + 0 35 + 2a = 5 Add '-35' to each side of the equation. 35 + -35 + 2a = 5 + -35 Combine like terms: 35 + -35 = 0 0 + 2a = 5 + -35 2a = 5 + -35 Combine like terms: 5 + -35 = -30 2a = -30 Divide each side by '2'. a = -15 Simplifying a = -15
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