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Simplifying 9(b + -1x) = 7b + ax (b * 9 + -1x * 9) = 7b + ax (9b + -9x) = 7b + ax Reorder the terms: 9b + -9x = ax + 7b Solving 9b + -9x = ax + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 9b + -7b + -9x = ax + 7b + -7b Combine like terms: 9b + -7b = 2b 2b + -9x = ax + 7b + -7b Combine like terms: 7b + -7b = 0 2b + -9x = ax + 0 2b + -9x = ax Add '9x' to each side of the equation. 2b + -9x + 9x = ax + 9x Combine like terms: -9x + 9x = 0 2b + 0 = ax + 9x 2b = ax + 9x Divide each side by '2'. b = 0.5ax + 4.5x Simplifying b = 0.5ax + 4.5x
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