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Simplifying 3x + 4a + -1(3x + a) = 2a + -4x + 5 Reorder the terms: 3x + 4a + -1(a + 3x) = 2a + -4x + 5 3x + 4a + (a * -1 + 3x * -1) = 2a + -4x + 5 3x + 4a + (-1a + -3x) = 2a + -4x + 5 Reorder the terms: 4a + -1a + 3x + -3x = 2a + -4x + 5 Combine like terms: 4a + -1a = 3a 3a + 3x + -3x = 2a + -4x + 5 Combine like terms: 3x + -3x = 0 3a + 0 = 2a + -4x + 5 3a = 2a + -4x + 5 Reorder the terms: 3a = 5 + 2a + -4x Solving 3a = 5 + 2a + -4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 3a + -2a = 5 + 2a + -2a + -4x Combine like terms: 3a + -2a = 1a 1a = 5 + 2a + -2a + -4x Combine like terms: 2a + -2a = 0 1a = 5 + 0 + -4x 1a = 5 + -4x Divide each side by '1'. a = 5 + -4x Simplifying a = 5 + -4x
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