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Simplifying -51x + 12 + 412x + -32 = 21x + 22 + -8 Reorder the terms: 12 + -32 + -51x + 412x = 21x + 22 + -8 Combine like terms: 12 + -32 = -20 -20 + -51x + 412x = 21x + 22 + -8 Combine like terms: -51x + 412x = 361x -20 + 361x = 21x + 22 + -8 Reorder the terms: -20 + 361x = 22 + -8 + 21x Combine like terms: 22 + -8 = 14 -20 + 361x = 14 + 21x Solving -20 + 361x = 14 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -20 + 361x + -21x = 14 + 21x + -21x Combine like terms: 361x + -21x = 340x -20 + 340x = 14 + 21x + -21x Combine like terms: 21x + -21x = 0 -20 + 340x = 14 + 0 -20 + 340x = 14 Add '20' to each side of the equation. -20 + 20 + 340x = 14 + 20 Combine like terms: -20 + 20 = 0 0 + 340x = 14 + 20 340x = 14 + 20 Combine like terms: 14 + 20 = 34 340x = 34 Divide each side by '340'. x = 0.1 Simplifying x = 0.1
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