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Simplifying x + -6 = -5x + 43 Reorder the terms: -6 + x = -5x + 43 Reorder the terms: -6 + x = 43 + -5x Solving -6 + x = 43 + -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. -6 + x + 5x = 43 + -5x + 5x Combine like terms: x + 5x = 6x -6 + 6x = 43 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 6x = 43 + 0 -6 + 6x = 43 Add '6' to each side of the equation. -6 + 6 + 6x = 43 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 43 + 6 6x = 43 + 6 Combine like terms: 43 + 6 = 49 6x = 49 Divide each side by '6'. x = 8.166666667 Simplifying x = 8.166666667
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