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Simplifying a + 2x + -4(x + -1a) + -3(2a + x) = 0 Reorder the terms: a + 2x + -4(-1a + x) + -3(2a + x) = 0 a + 2x + (-1a * -4 + x * -4) + -3(2a + x) = 0 a + 2x + (4a + -4x) + -3(2a + x) = 0 a + 2x + 4a + -4x + (2a * -3 + x * -3) = 0 a + 2x + 4a + -4x + (-6a + -3x) = 0 Reorder the terms: a + 4a + -6a + 2x + -4x + -3x = 0 Combine like terms: a + 4a = 5a 5a + -6a + 2x + -4x + -3x = 0 Combine like terms: 5a + -6a = -1a -1a + 2x + -4x + -3x = 0 Combine like terms: 2x + -4x = -2x -1a + -2x + -3x = 0 Combine like terms: -2x + -3x = -5x -1a + -5x = 0 Solving -1a + -5x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5x' to each side of the equation. -1a + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 -1a + 0 = 0 + 5x -1a = 0 + 5x Remove the zero: -1a = 5x Divide each side by '-1'. a = -5x Simplifying a = -5x
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