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Simplifying 7(1 + 5x) + (6a + 5) = 32 (1 * 7 + 5x * 7) + (6a + 5) = 32 (7 + 35x) + (6a + 5) = 32 Reorder the terms: 7 + 35x + (5 + 6a) = 32 Remove parenthesis around (5 + 6a) 7 + 35x + 5 + 6a = 32 Reorder the terms: 7 + 5 + 6a + 35x = 32 Combine like terms: 7 + 5 = 12 12 + 6a + 35x = 32 Solving 12 + 6a + 35x = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 6a + -12 + 35x = 32 + -12 Reorder the terms: 12 + -12 + 6a + 35x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 6a + 35x = 32 + -12 6a + 35x = 32 + -12 Combine like terms: 32 + -12 = 20 6a + 35x = 20 Add '-35x' to each side of the equation. 6a + 35x + -35x = 20 + -35x Combine like terms: 35x + -35x = 0 6a + 0 = 20 + -35x 6a = 20 + -35x Divide each side by '6'. a = 3.333333333 + -5.833333333x Simplifying a = 3.333333333 + -5.833333333x
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