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Simplifying -6 + -3x + -2 = 3x + 24 + 2x Reorder the terms: -6 + -2 + -3x = 3x + 24 + 2x Combine like terms: -6 + -2 = -8 -8 + -3x = 3x + 24 + 2x Reorder the terms: -8 + -3x = 24 + 3x + 2x Combine like terms: 3x + 2x = 5x -8 + -3x = 24 + 5x Solving -8 + -3x = 24 + 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. -8 + -3x + -5x = 24 + 5x + -5x Combine like terms: -3x + -5x = -8x -8 + -8x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -8x = 24 + 0 -8 + -8x = 24 Add '8' to each side of the equation. -8 + 8 + -8x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = 24 + 8 -8x = 24 + 8 Combine like terms: 24 + 8 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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