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Simplifying 7a + -1((3x + -8a) + -1(2x + -4a) + -5x) = 0 Reorder the terms: 7a + -1((-8a + 3x) + -1(2x + -4a) + -5x) = 0 Remove parenthesis around (-8a + 3x) 7a + -1(-8a + 3x + -1(2x + -4a) + -5x) = 0 Reorder the terms: 7a + -1(-8a + 3x + -1(-4a + 2x) + -5x) = 0 7a + -1(-8a + 3x + (-4a * -1 + 2x * -1) + -5x) = 0 7a + -1(-8a + 3x + (4a + -2x) + -5x) = 0 Reorder the terms: 7a + -1(-8a + 4a + 3x + -2x + -5x) = 0 Combine like terms: -8a + 4a = -4a 7a + -1(-4a + 3x + -2x + -5x) = 0 Combine like terms: 3x + -2x = 1x 7a + -1(-4a + 1x + -5x) = 0 Combine like terms: 1x + -5x = -4x 7a + -1(-4a + -4x) = 0 7a + (-4a * -1 + -4x * -1) = 0 7a + (4a + 4x) = 0 Combine like terms: 7a + 4a = 11a 11a + 4x = 0 Solving 11a + 4x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4x' to each side of the equation. 11a + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 11a + 0 = 0 + -4x 11a = 0 + -4x Remove the zero: 11a = -4x Divide each side by '11'. a = -0.3636363636x Simplifying a = -0.3636363636x
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