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Simplifying 12x + -43 = 5x + 83 Reorder the terms: -43 + 12x = 5x + 83 Reorder the terms: -43 + 12x = 83 + 5x Solving -43 + 12x = 83 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -43 + 12x + -5x = 83 + 5x + -5x Combine like terms: 12x + -5x = 7x -43 + 7x = 83 + 5x + -5x Combine like terms: 5x + -5x = 0 -43 + 7x = 83 + 0 -43 + 7x = 83 Add '43' to each side of the equation. -43 + 43 + 7x = 83 + 43 Combine like terms: -43 + 43 = 0 0 + 7x = 83 + 43 7x = 83 + 43 Combine like terms: 83 + 43 = 126 7x = 126 Divide each side by '7'. x = 18 Simplifying x = 18
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