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Simplifying -10(x + 12) + -11(a + -1) = -9a + 11 + -3 + -11a Reorder the terms: -10(12 + x) + -11(a + -1) = -9a + 11 + -3 + -11a (12 * -10 + x * -10) + -11(a + -1) = -9a + 11 + -3 + -11a (-120 + -10x) + -11(a + -1) = -9a + 11 + -3 + -11a Reorder the terms: -120 + -10x + -11(-1 + a) = -9a + 11 + -3 + -11a -120 + -10x + (-1 * -11 + a * -11) = -9a + 11 + -3 + -11a -120 + -10x + (11 + -11a) = -9a + 11 + -3 + -11a Reorder the terms: -120 + 11 + -11a + -10x = -9a + 11 + -3 + -11a Combine like terms: -120 + 11 = -109 -109 + -11a + -10x = -9a + 11 + -3 + -11a Reorder the terms: -109 + -11a + -10x = 11 + -3 + -9a + -11a Combine like terms: 11 + -3 = 8 -109 + -11a + -10x = 8 + -9a + -11a Combine like terms: -9a + -11a = -20a -109 + -11a + -10x = 8 + -20a Solving -109 + -11a + -10x = 8 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. -109 + -11a + 20a + -10x = 8 + -20a + 20a Combine like terms: -11a + 20a = 9a -109 + 9a + -10x = 8 + -20a + 20a Combine like terms: -20a + 20a = 0 -109 + 9a + -10x = 8 + 0 -109 + 9a + -10x = 8 Add '109' to each side of the equation. -109 + 9a + 109 + -10x = 8 + 109 Reorder the terms: -109 + 109 + 9a + -10x = 8 + 109 Combine like terms: -109 + 109 = 0 0 + 9a + -10x = 8 + 109 9a + -10x = 8 + 109 Combine like terms: 8 + 109 = 117 9a + -10x = 117 Add '10x' to each side of the equation. 9a + -10x + 10x = 117 + 10x Combine like terms: -10x + 10x = 0 9a + 0 = 117 + 10x 9a = 117 + 10x Divide each side by '9'. a = 13 + 1.111111111x Simplifying a = 13 + 1.111111111x
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