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Simplifying 9 + 2(a + 4) = a + -2(5 + x) Reorder the terms: 9 + 2(4 + a) = a + -2(5 + x) 9 + (4 * 2 + a * 2) = a + -2(5 + x) 9 + (8 + 2a) = a + -2(5 + x) Combine like terms: 9 + 8 = 17 17 + 2a = a + -2(5 + x) 17 + 2a = a + (5 * -2 + x * -2) 17 + 2a = a + (-10 + -2x) Reorder the terms: 17 + 2a = -10 + a + -2x Solving 17 + 2a = -10 + a + -2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 17 + 2a + -1a = -10 + a + -1a + -2x Combine like terms: 2a + -1a = 1a 17 + 1a = -10 + a + -1a + -2x Combine like terms: a + -1a = 0 17 + 1a = -10 + 0 + -2x 17 + 1a = -10 + -2x Add '-17' to each side of the equation. 17 + -17 + 1a = -10 + -17 + -2x Combine like terms: 17 + -17 = 0 0 + 1a = -10 + -17 + -2x 1a = -10 + -17 + -2x Combine like terms: -10 + -17 = -27 1a = -27 + -2x Divide each side by '1'. a = -27 + -2x Simplifying a = -27 + -2x
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