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Simplifying -43 + 2x = 41 + -5x Solving -43 + 2x = 41 + -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 + 2x + 5x = 41 + -5x + 5x Combine like terms: 2x + 5x = 7x -43 + 7x = 41 + -5x + 5x Combine like terms: -5x + 5x = 0 -43 + 7x = 41 + 0 -43 + 7x = 41 Add '43' to each side of the equation. -43 + 43 + 7x = 41 + 43 Combine like terms: -43 + 43 = 0 0 + 7x = 41 + 43 7x = 41 + 43 Combine like terms: 41 + 43 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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