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Simplifying x + -43 = -5x + 83 Reorder the terms: -43 + x = -5x + 83 Reorder the terms: -43 + x = 83 + -5x Solving -43 + x = 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 + x + 5x = 83 + -5x + 5x Combine like terms: x + 5x = 6x -43 + 6x = 83 + -5x + 5x Combine like terms: -5x + 5x = 0 -43 + 6x = 83 + 0 -43 + 6x = 83 Add '43' to each side of the equation. -43 + 43 + 6x = 83 + 43 Combine like terms: -43 + 43 = 0 0 + 6x = 83 + 43 6x = 83 + 43 Combine like terms: 83 + 43 = 126 6x = 126 Divide each side by '6'. x = 21 Simplifying x = 21
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