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