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Simplifying -7(1 + 7b) = -5b + 37 (1 * -7 + 7b * -7) = -5b + 37 (-7 + -49b) = -5b + 37 Reorder the terms: -7 + -49b = 37 + -5b Solving -7 + -49b = 37 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -7 + -49b + 5b = 37 + -5b + 5b Combine like terms: -49b + 5b = -44b -7 + -44b = 37 + -5b + 5b Combine like terms: -5b + 5b = 0 -7 + -44b = 37 + 0 -7 + -44b = 37 Add '7' to each side of the equation. -7 + 7 + -44b = 37 + 7 Combine like terms: -7 + 7 = 0 0 + -44b = 37 + 7 -44b = 37 + 7 Combine like terms: 37 + 7 = 44 -44b = 44 Divide each side by '-44'. b = -1 Simplifying b = -1
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