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Simplifying 5(b + -1x) = 2b + ax (b * 5 + -1x * 5) = 2b + ax (5b + -5x) = 2b + ax Reorder the terms: 5b + -5x = ax + 2b Solving 5b + -5x = ax + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 5b + -2b + -5x = ax + 2b + -2b Combine like terms: 5b + -2b = 3b 3b + -5x = ax + 2b + -2b Combine like terms: 2b + -2b = 0 3b + -5x = ax + 0 3b + -5x = ax Add '5x' to each side of the equation. 3b + -5x + 5x = ax + 5x Combine like terms: -5x + 5x = 0 3b + 0 = ax + 5x 3b = ax + 5x Divide each side by '3'. b = 0.3333333333ax + 1.666666667x Simplifying b = 0.3333333333ax + 1.666666667x
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