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Simplifying 3x + b + 12 + -5x = 22 Reorder the terms: 12 + b + 3x + -5x = 22 Combine like terms: 3x + -5x = -2x 12 + b + -2x = 22 Solving 12 + b + -2x = 22 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + b + -12 + -2x = 22 + -12 Reorder the terms: 12 + -12 + b + -2x = 22 + -12 Combine like terms: 12 + -12 = 0 0 + b + -2x = 22 + -12 b + -2x = 22 + -12 Combine like terms: 22 + -12 = 10 b + -2x = 10 Add '2x' to each side of the equation. b + -2x + 2x = 10 + 2x Combine like terms: -2x + 2x = 0 b + 0 = 10 + 2x b = 10 + 2x Simplifying b = 10 + 2x
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