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Simplifying dx + b = 6(x + -1d) Reorder the terms: b + dx = 6(x + -1d) Reorder the terms: b + dx = 6(-1d + x) b + dx = (-1d * 6 + x * 6) b + dx = (-6d + 6x) Solving b + dx = -6d + 6x 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 = -6d + -1dx + 6x Combine like terms: dx + -1dx = 0 b + 0 = -6d + -1dx + 6x b = -6d + -1dx + 6x Simplifying b = -6d + -1dx + 6x
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