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