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Simplifying -8x + 4a = 2a + 1 + -5a Reorder the terms: 4a + -8x = 2a + 1 + -5a Reorder the terms: 4a + -8x = 1 + 2a + -5a Combine like terms: 2a + -5a = -3a 4a + -8x = 1 + -3a Solving 4a + -8x = 1 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 4a + 3a + -8x = 1 + -3a + 3a Combine like terms: 4a + 3a = 7a 7a + -8x = 1 + -3a + 3a Combine like terms: -3a + 3a = 0 7a + -8x = 1 + 0 7a + -8x = 1 Add '8x' to each side of the equation. 7a + -8x + 8x = 1 + 8x Combine like terms: -8x + 8x = 0 7a + 0 = 1 + 8x 7a = 1 + 8x Divide each side by '7'. a = 0.1428571429 + 1.142857143x Simplifying a = 0.1428571429 + 1.142857143x
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