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Simplifying -6x + -43 = 42 + -1x Reorder the terms: -43 + -6x = 42 + -1x Solving -43 + -6x = 42 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -43 + -6x + x = 42 + -1x + x Combine like terms: -6x + x = -5x -43 + -5x = 42 + -1x + x Combine like terms: -1x + x = 0 -43 + -5x = 42 + 0 -43 + -5x = 42 Add '43' to each side of the equation. -43 + 43 + -5x = 42 + 43 Combine like terms: -43 + 43 = 0 0 + -5x = 42 + 43 -5x = 42 + 43 Combine like terms: 42 + 43 = 85 -5x = 85 Divide each side by '-5'. x = -17 Simplifying x = -17
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