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Simplifying x + 2x + -6 = 12 + 2x Reorder the terms: -6 + x + 2x = 12 + 2x Combine like terms: x + 2x = 3x -6 + 3x = 12 + 2x Solving -6 + 3x = 12 + 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. -6 + 3x + -2x = 12 + 2x + -2x Combine like terms: 3x + -2x = 1x -6 + 1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 1x = 12 + 0 -6 + 1x = 12 Add '6' to each side of the equation. -6 + 6 + 1x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 12 + 6 1x = 12 + 6 Combine like terms: 12 + 6 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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