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Simplifying a + -1(3x + 5) = 7 + -5a Reorder the terms: a + -1(5 + 3x) = 7 + -5a a + (5 * -1 + 3x * -1) = 7 + -5a a + (-5 + -3x) = 7 + -5a Reorder the terms: -5 + a + -3x = 7 + -5a Solving -5 + a + -3x = 7 + -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. -5 + a + 5a + -3x = 7 + -5a + 5a Combine like terms: a + 5a = 6a -5 + 6a + -3x = 7 + -5a + 5a Combine like terms: -5a + 5a = 0 -5 + 6a + -3x = 7 + 0 -5 + 6a + -3x = 7 Add '5' to each side of the equation. -5 + 6a + 5 + -3x = 7 + 5 Reorder the terms: -5 + 5 + 6a + -3x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 6a + -3x = 7 + 5 6a + -3x = 7 + 5 Combine like terms: 7 + 5 = 12 6a + -3x = 12 Add '3x' to each side of the equation. 6a + -3x + 3x = 12 + 3x Combine like terms: -3x + 3x = 0 6a + 0 = 12 + 3x 6a = 12 + 3x Divide each side by '6'. a = 2 + 0.5x Simplifying a = 2 + 0.5x
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