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Simplifying (1 + 3b) + (5 + 5x) = 0 Remove parenthesis around (1 + 3b) 1 + 3b + (5 + 5x) = 0 Remove parenthesis around (5 + 5x) 1 + 3b + 5 + 5x = 0 Reorder the terms: 1 + 5 + 3b + 5x = 0 Combine like terms: 1 + 5 = 6 6 + 3b + 5x = 0 Solving 6 + 3b + 5x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3b + -6 + 5x = 0 + -6 Reorder the terms: 6 + -6 + 3b + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3b + 5x = 0 + -6 3b + 5x = 0 + -6 Combine like terms: 0 + -6 = -6 3b + 5x = -6 Add '-5x' to each side of the equation. 3b + 5x + -5x = -6 + -5x Combine like terms: 5x + -5x = 0 3b + 0 = -6 + -5x 3b = -6 + -5x Divide each side by '3'. b = -2 + -1.666666667x Simplifying b = -2 + -1.666666667x
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