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Simplifying 7(b + -1x) = 5b + ax (b * 7 + -1x * 7) = 5b + ax (7b + -7x) = 5b + ax Reorder the terms: 7b + -7x = ax + 5b Solving 7b + -7x = 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. 7b + -5b + -7x = ax + 5b + -5b Combine like terms: 7b + -5b = 2b 2b + -7x = ax + 5b + -5b Combine like terms: 5b + -5b = 0 2b + -7x = ax + 0 2b + -7x = ax Add '7x' to each side of the equation. 2b + -7x + 7x = ax + 7x Combine like terms: -7x + 7x = 0 2b + 0 = ax + 7x 2b = ax + 7x Divide each side by '2'. b = 0.5ax + 3.5x Simplifying b = 0.5ax + 3.5x
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