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Simplifying dx + b = 7(x + -1d) Reorder the terms: b + dx = 7(x + -1d) Reorder the terms: b + dx = 7(-1d + x) b + dx = (-1d * 7 + x * 7) b + dx = (-7d + 7x) Solving b + dx = -7d + 7x 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 = -7d + -1dx + 7x Combine like terms: dx + -1dx = 0 b + 0 = -7d + -1dx + 7x b = -7d + -1dx + 7x Simplifying b = -7d + -1dx + 7x
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