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Simplifying x + 3(2a + 6) = -9 Reorder the terms: x + 3(6 + 2a) = -9 x + (6 * 3 + 2a * 3) = -9 x + (18 + 6a) = -9 Reorder the terms: 18 + 6a + x = -9 Solving 18 + 6a + x = -9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 6a + -18 + x = -9 + -18 Reorder the terms: 18 + -18 + 6a + x = -9 + -18 Combine like terms: 18 + -18 = 0 0 + 6a + x = -9 + -18 6a + x = -9 + -18 Combine like terms: -9 + -18 = -27 6a + x = -27 Add '-1x' to each side of the equation. 6a + x + -1x = -27 + -1x Combine like terms: x + -1x = 0 6a + 0 = -27 + -1x 6a = -27 + -1x Divide each side by '6'. a = -4.5 + -0.1666666667x Simplifying a = -4.5 + -0.1666666667x
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