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Simplifying 12x + -6 + 2 = -2x + 8x + 2 Reorder the terms: -6 + 2 + 12x = -2x + 8x + 2 Combine like terms: -6 + 2 = -4 -4 + 12x = -2x + 8x + 2 Reorder the terms: -4 + 12x = 2 + -2x + 8x Combine like terms: -2x + 8x = 6x -4 + 12x = 2 + 6x Solving -4 + 12x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 12x + -6x = 2 + 6x + -6x Combine like terms: 12x + -6x = 6x -4 + 6x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 6x = 2 + 0 -4 + 6x = 2 Add '4' to each side of the equation. -4 + 4 + 6x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 2 + 4 6x = 2 + 4 Combine like terms: 2 + 4 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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