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Simplifying -11x + 12 + -8x + -7a + 12a + -23 = 0 Reorder the terms: 12 + -23 + -7a + 12a + -11x + -8x = 0 Combine like terms: 12 + -23 = -11 -11 + -7a + 12a + -11x + -8x = 0 Combine like terms: -7a + 12a = 5a -11 + 5a + -11x + -8x = 0 Combine like terms: -11x + -8x = -19x -11 + 5a + -19x = 0 Solving -11 + 5a + -19x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 5a + 11 + -19x = 0 + 11 Reorder the terms: -11 + 11 + 5a + -19x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 5a + -19x = 0 + 11 5a + -19x = 0 + 11 Combine like terms: 0 + 11 = 11 5a + -19x = 11 Add '19x' to each side of the equation. 5a + -19x + 19x = 11 + 19x Combine like terms: -19x + 19x = 0 5a + 0 = 11 + 19x 5a = 11 + 19x Divide each side by '5'. a = 2.2 + 3.8x Simplifying a = 2.2 + 3.8x
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