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Simplifying 12x + -10 + -6x = 2x + 14 + -8x Reorder the terms: -10 + 12x + -6x = 2x + 14 + -8x Combine like terms: 12x + -6x = 6x -10 + 6x = 2x + 14 + -8x Reorder the terms: -10 + 6x = 14 + 2x + -8x Combine like terms: 2x + -8x = -6x -10 + 6x = 14 + -6x Solving -10 + 6x = 14 + -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. -10 + 6x + 6x = 14 + -6x + 6x Combine like terms: 6x + 6x = 12x -10 + 12x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 12x = 14 + 0 -10 + 12x = 14 Add '10' to each side of the equation. -10 + 10 + 12x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 14 + 10 12x = 14 + 10 Combine like terms: 14 + 10 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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