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Simplifying -2 + -3x + -2 = -2x + 8 + -1k Reorder the terms: -2 + -2 + -3x = -2x + 8 + -1k Combine like terms: -2 + -2 = -4 -4 + -3x = -2x + 8 + -1k Reorder the terms: -4 + -3x = 8 + -1k + -2x Solving -4 + -3x = 8 + -1k + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + -3x + 2x = 8 + -1k + -2x + 2x Combine like terms: -3x + 2x = -1x -4 + -1x = 8 + -1k + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + -1x = 8 + -1k + 0 -4 + -1x = 8 + -1k Add '4' to each side of the equation. -4 + 4 + -1x = 8 + 4 + -1k Combine like terms: -4 + 4 = 0 0 + -1x = 8 + 4 + -1k -1x = 8 + 4 + -1k Combine like terms: 8 + 4 = 12 -1x = 12 + -1k Divide each side by '-1'. x = -12 + k Simplifying x = -12 + k
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