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Simplifying 3x + 42 = 3(x + -1b) Reorder the terms: 42 + 3x = 3(x + -1b) Reorder the terms: 42 + 3x = 3(-1b + x) 42 + 3x = (-1b * 3 + x * 3) 42 + 3x = (-3b + 3x) Add '-3x' to each side of the equation. 42 + 3x + -3x = -3b + 3x + -3x Combine like terms: 3x + -3x = 0 42 + 0 = -3b + 3x + -3x 42 = -3b + 3x + -3x Combine like terms: 3x + -3x = 0 42 = -3b + 0 42 = -3b Solving 42 = -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 42 + 3b = -3b + 3b Combine like terms: -3b + 3b = 0 42 + 3b = 0 Add '-42' to each side of the equation. 42 + -42 + 3b = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 3b = 0 + -42 3b = 0 + -42 Combine like terms: 0 + -42 = -42 3b = -42 Divide each side by '3'. b = -14 Simplifying b = -14
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