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Simplifying 2x + 4 + -6 = 12x + -2 + 2 Reorder the terms: 4 + -6 + 2x = 12x + -2 + 2 Combine like terms: 4 + -6 = -2 -2 + 2x = 12x + -2 + 2 Reorder the terms: -2 + 2x = -2 + 2 + 12x Combine like terms: -2 + 2 = 0 -2 + 2x = 0 + 12x -2 + 2x = 12x Solving -2 + 2x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 2x + -12x = 12x + -12x Combine like terms: 2x + -12x = -10x -2 + -10x = 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -10x = 0 Add '2' to each side of the equation. -2 + 2 + -10x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 0 + 2 -10x = 0 + 2 Combine like terms: 0 + 2 = 2 -10x = 2 Divide each side by '-10'. x = -0.2 Simplifying x = -0.2
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