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Simplifying 5a + 7b + -4a + -9b + 2x = 0 Reorder the terms: 5a + -4a + 7b + -9b + 2x = 0 Combine like terms: 5a + -4a = 1a 1a + 7b + -9b + 2x = 0 Combine like terms: 7b + -9b = -2b 1a + -2b + 2x = 0 Solving 1a + -2b + 2x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 1a + -2b + 2b + 2x = 0 + 2b Combine like terms: -2b + 2b = 0 1a + 0 + 2x = 0 + 2b 1a + 2x = 0 + 2b Remove the zero: 1a + 2x = 2b Add '-2x' to each side of the equation. 1a + 2x + -2x = 2b + -2x Combine like terms: 2x + -2x = 0 1a + 0 = 2b + -2x 1a = 2b + -2x Divide each side by '1'. a = 2b + -2x Simplifying a = 2b + -2x
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