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Simplifying 5x + -1a + 6b = 3x + 8a + -1x + 6b Reorder the terms: -1a + 6b + 5x = 3x + 8a + -1x + 6b Reorder the terms: -1a + 6b + 5x = 8a + 6b + 3x + -1x Combine like terms: 3x + -1x = 2x -1a + 6b + 5x = 8a + 6b + 2x Add '-6b' to each side of the equation. -1a + 6b + -6b + 5x = 8a + 6b + -6b + 2x Combine like terms: 6b + -6b = 0 -1a + 0 + 5x = 8a + 6b + -6b + 2x -1a + 5x = 8a + 6b + -6b + 2x Combine like terms: 6b + -6b = 0 -1a + 5x = 8a + 0 + 2x -1a + 5x = 8a + 2x Solving -1a + 5x = 8a + 2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -1a + -8a + 5x = 8a + -8a + 2x Combine like terms: -1a + -8a = -9a -9a + 5x = 8a + -8a + 2x Combine like terms: 8a + -8a = 0 -9a + 5x = 0 + 2x -9a + 5x = 2x Add '-5x' to each side of the equation. -9a + 5x + -5x = 2x + -5x Combine like terms: 5x + -5x = 0 -9a + 0 = 2x + -5x -9a = 2x + -5x Combine like terms: 2x + -5x = -3x -9a = -3x Divide each side by '-9'. a = 0.3333333333x Simplifying a = 0.3333333333x
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