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Simplifying 7(b + -1x) = 2b + ax (b * 7 + -1x * 7) = 2b + ax (7b + -7x) = 2b + ax Reorder the terms: 7b + -7x = ax + 2b Solving 7b + -7x = 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. 7b + -2b + -7x = ax + 2b + -2b Combine like terms: 7b + -2b = 5b 5b + -7x = ax + 2b + -2b Combine like terms: 2b + -2b = 0 5b + -7x = ax + 0 5b + -7x = ax Add '7x' to each side of the equation. 5b + -7x + 7x = ax + 7x Combine like terms: -7x + 7x = 0 5b + 0 = ax + 7x 5b = ax + 7x Divide each side by '5'. b = 0.2ax + 1.4x Simplifying b = 0.2ax + 1.4x
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