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Simplifying 4(a + 2x) + -1(2a + -3x) = 0 (a * 4 + 2x * 4) + -1(2a + -3x) = 0 (4a + 8x) + -1(2a + -3x) = 0 4a + 8x + (2a * -1 + -3x * -1) = 0 4a + 8x + (-2a + 3x) = 0 Reorder the terms: 4a + -2a + 8x + 3x = 0 Combine like terms: 4a + -2a = 2a 2a + 8x + 3x = 0 Combine like terms: 8x + 3x = 11x 2a + 11x = 0 Solving 2a + 11x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11x' to each side of the equation. 2a + 11x + -11x = 0 + -11x Combine like terms: 11x + -11x = 0 2a + 0 = 0 + -11x 2a = 0 + -11x Remove the zero: 2a = -11x Divide each side by '2'. a = -5.5x Simplifying a = -5.5x
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