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Simplifying 3x + 5a + 8b = 4b + -8a + 7x Reorder the terms: 5a + 8b + 3x = 4b + -8a + 7x Reorder the terms: 5a + 8b + 3x = -8a + 4b + 7x Solving 5a + 8b + 3x = -8a + 4b + 7x 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. 5a + 8b + 8a + 3x = -8a + 4b + 8a + 7x Reorder the terms: 5a + 8a + 8b + 3x = -8a + 4b + 8a + 7x Combine like terms: 5a + 8a = 13a 13a + 8b + 3x = -8a + 4b + 8a + 7x Reorder the terms: 13a + 8b + 3x = -8a + 8a + 4b + 7x Combine like terms: -8a + 8a = 0 13a + 8b + 3x = 0 + 4b + 7x 13a + 8b + 3x = 4b + 7x Add '-8b' to each side of the equation. 13a + 8b + -8b + 3x = 4b + -8b + 7x Combine like terms: 8b + -8b = 0 13a + 0 + 3x = 4b + -8b + 7x 13a + 3x = 4b + -8b + 7x Combine like terms: 4b + -8b = -4b 13a + 3x = -4b + 7x Add '-3x' to each side of the equation. 13a + 3x + -3x = -4b + 7x + -3x Combine like terms: 3x + -3x = 0 13a + 0 = -4b + 7x + -3x 13a = -4b + 7x + -3x Combine like terms: 7x + -3x = 4x 13a = -4b + 4x Divide each side by '13'. a = -0.3076923077b + 0.3076923077x Simplifying a = -0.3076923077b + 0.3076923077x
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