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Simplifying 7(1 + 5x) + -1(6a + 5) = 32 (1 * 7 + 5x * 7) + -1(6a + 5) = 32 (7 + 35x) + -1(6a + 5) = 32 Reorder the terms: 7 + 35x + -1(5 + 6a) = 32 7 + 35x + (5 * -1 + 6a * -1) = 32 7 + 35x + (-5 + -6a) = 32 Reorder the terms: 7 + -5 + -6a + 35x = 32 Combine like terms: 7 + -5 = 2 2 + -6a + 35x = 32 Solving 2 + -6a + 35x = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -6a + -2 + 35x = 32 + -2 Reorder the terms: 2 + -2 + -6a + 35x = 32 + -2 Combine like terms: 2 + -2 = 0 0 + -6a + 35x = 32 + -2 -6a + 35x = 32 + -2 Combine like terms: 32 + -2 = 30 -6a + 35x = 30 Add '-35x' to each side of the equation. -6a + 35x + -35x = 30 + -35x Combine like terms: 35x + -35x = 0 -6a + 0 = 30 + -35x -6a = 30 + -35x Divide each side by '-6'. a = -5 + 5.833333333x Simplifying a = -5 + 5.833333333x
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