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Simplifying 8(b + -1x) = 5b + ax (b * 8 + -1x * 8) = 5b + ax (8b + -8x) = 5b + ax Reorder the terms: 8b + -8x = ax + 5b Solving 8b + -8x = ax + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 8b + -5b + -8x = ax + 5b + -5b Combine like terms: 8b + -5b = 3b 3b + -8x = ax + 5b + -5b Combine like terms: 5b + -5b = 0 3b + -8x = ax + 0 3b + -8x = ax Add '8x' to each side of the equation. 3b + -8x + 8x = ax + 8x Combine like terms: -8x + 8x = 0 3b + 0 = ax + 8x 3b = ax + 8x Divide each side by '3'. b = 0.3333333333ax + 2.666666667x Simplifying b = 0.3333333333ax + 2.666666667x
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