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Simplifying 8(b + -1x) = 6b + ax (b * 8 + -1x * 8) = 6b + ax (8b + -8x) = 6b + ax Reorder the terms: 8b + -8x = ax + 6b Solving 8b + -8x = ax + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 8b + -6b + -8x = ax + 6b + -6b Combine like terms: 8b + -6b = 2b 2b + -8x = ax + 6b + -6b Combine like terms: 6b + -6b = 0 2b + -8x = ax + 0 2b + -8x = ax Add '8x' to each side of the equation. 2b + -8x + 8x = ax + 8x Combine like terms: -8x + 8x = 0 2b + 0 = ax + 8x 2b = ax + 8x Divide each side by '2'. b = 0.5ax + 4x Simplifying b = 0.5ax + 4x
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