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Simplifying 3 + -5(x + -2b) = ax + 4 Reorder the terms: 3 + -5(-2b + x) = ax + 4 3 + (-2b * -5 + x * -5) = ax + 4 3 + (10b + -5x) = ax + 4 Reorder the terms: 3 + 10b + -5x = 4 + ax Solving 3 + 10b + -5x = 4 + ax Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 10b + -3 + -5x = 4 + -3 + ax Reorder the terms: 3 + -3 + 10b + -5x = 4 + -3 + ax Combine like terms: 3 + -3 = 0 0 + 10b + -5x = 4 + -3 + ax 10b + -5x = 4 + -3 + ax Combine like terms: 4 + -3 = 1 10b + -5x = 1 + ax Add '5x' to each side of the equation. 10b + -5x + 5x = 1 + ax + 5x Combine like terms: -5x + 5x = 0 10b + 0 = 1 + ax + 5x 10b = 1 + ax + 5x Divide each side by '10'. b = 0.1 + 0.1ax + 0.5x Simplifying b = 0.1 + 0.1ax + 0.5x
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