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Simplifying 3a + 7x + -27a + 12x + 45a = 0 Reorder the terms: 3a + -27a + 45a + 7x + 12x = 0 Combine like terms: 3a + -27a = -24a -24a + 45a + 7x + 12x = 0 Combine like terms: -24a + 45a = 21a 21a + 7x + 12x = 0 Combine like terms: 7x + 12x = 19x 21a + 19x = 0 Solving 21a + 19x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19x' to each side of the equation. 21a + 19x + -19x = 0 + -19x Combine like terms: 19x + -19x = 0 21a + 0 = 0 + -19x 21a = 0 + -19x Remove the zero: 21a = -19x Divide each side by '21'. a = -0.9047619048x Simplifying a = -0.9047619048x
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