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Simplifying A + -1(3a + 5) = 4(3 + x) Reorder the terms: A + -1(5 + 3a) = 4(3 + x) A + (5 * -1 + 3a * -1) = 4(3 + x) A + (-5 + -3a) = 4(3 + x) Reorder the terms: -5 + A + -3a = 4(3 + x) -5 + A + -3a = (3 * 4 + x * 4) -5 + A + -3a = (12 + 4x) Solving -5 + A + -3a = 12 + 4x Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '5' to each side of the equation. -5 + A + 5 + -3a = 12 + 5 + 4x Reorder the terms: -5 + 5 + A + -3a = 12 + 5 + 4x Combine like terms: -5 + 5 = 0 0 + A + -3a = 12 + 5 + 4x A + -3a = 12 + 5 + 4x Combine like terms: 12 + 5 = 17 A + -3a = 17 + 4x Add '3a' to each side of the equation. A + -3a + 3a = 17 + 3a + 4x Combine like terms: -3a + 3a = 0 A + 0 = 17 + 3a + 4x A = 17 + 3a + 4x Simplifying A = 17 + 3a + 4x
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