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Simplifying 12x + -43 = 10x + -83 Reorder the terms: -43 + 12x = 10x + -83 Reorder the terms: -43 + 12x = -83 + 10x Solving -43 + 12x = -83 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -43 + 12x + -10x = -83 + 10x + -10x Combine like terms: 12x + -10x = 2x -43 + 2x = -83 + 10x + -10x Combine like terms: 10x + -10x = 0 -43 + 2x = -83 + 0 -43 + 2x = -83 Add '43' to each side of the equation. -43 + 43 + 2x = -83 + 43 Combine like terms: -43 + 43 = 0 0 + 2x = -83 + 43 2x = -83 + 43 Combine like terms: -83 + 43 = -40 2x = -40 Divide each side by '2'. x = -20 Simplifying x = -20
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