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Simplifying 3(x + 2) + -1(a + -1) = 17 Reorder the terms: 3(2 + x) + -1(a + -1) = 17 (2 * 3 + x * 3) + -1(a + -1) = 17 (6 + 3x) + -1(a + -1) = 17 Reorder the terms: 6 + 3x + -1(-1 + a) = 17 6 + 3x + (-1 * -1 + a * -1) = 17 6 + 3x + (1 + -1a) = 17 Reorder the terms: 6 + 1 + -1a + 3x = 17 Combine like terms: 6 + 1 = 7 7 + -1a + 3x = 17 Solving 7 + -1a + 3x = 17 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -1a + -7 + 3x = 17 + -7 Reorder the terms: 7 + -7 + -1a + 3x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + -1a + 3x = 17 + -7 -1a + 3x = 17 + -7 Combine like terms: 17 + -7 = 10 -1a + 3x = 10 Add '-3x' to each side of the equation. -1a + 3x + -3x = 10 + -3x Combine like terms: 3x + -3x = 0 -1a + 0 = 10 + -3x -1a = 10 + -3x Divide each side by '-1'. a = -10 + 3x Simplifying a = -10 + 3x
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