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Simplifying 5(x + b) = 2b Reorder the terms: 5(b + x) = 2b (b * 5 + x * 5) = 2b (5b + 5x) = 2b Solving 5b + 5x = 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. 5b + -2b + 5x = 2b + -2b Combine like terms: 5b + -2b = 3b 3b + 5x = 2b + -2b Combine like terms: 2b + -2b = 0 3b + 5x = 0 Add '-5x' to each side of the equation. 3b + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 3b + 0 = 0 + -5x 3b = 0 + -5x Remove the zero: 3b = -5x Divide each side by '3'. b = -1.666666667x Simplifying b = -1.666666667x
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