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Simplifying -12 + -6x + 3x = 2x + 8 Combine like terms: -6x + 3x = -3x -12 + -3x = 2x + 8 Reorder the terms: -12 + -3x = 8 + 2x Solving -12 + -3x = 8 + 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. -12 + -3x + -2x = 8 + 2x + -2x Combine like terms: -3x + -2x = -5x -12 + -5x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -5x = 8 + 0 -12 + -5x = 8 Add '12' to each side of the equation. -12 + 12 + -5x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 8 + 12 -5x = 8 + 12 Combine like terms: 8 + 12 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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