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Simplifying -8 + -3x + 4 = 3x + 6 + -1x Reorder the terms: -8 + 4 + -3x = 3x + 6 + -1x Combine like terms: -8 + 4 = -4 -4 + -3x = 3x + 6 + -1x Reorder the terms: -4 + -3x = 6 + 3x + -1x Combine like terms: 3x + -1x = 2x -4 + -3x = 6 + 2x Solving -4 + -3x = 6 + 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 = 6 + 2x + -2x Combine like terms: -3x + -2x = -5x -4 + -5x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -5x = 6 + 0 -4 + -5x = 6 Add '4' to each side of the equation. -4 + 4 + -5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 6 + 4 -5x = 6 + 4 Combine like terms: 6 + 4 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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