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Simplifying 6x + -2 + 6x = 2(x + -6) Reorder the terms: -2 + 6x + 6x = 2(x + -6) Combine like terms: 6x + 6x = 12x -2 + 12x = 2(x + -6) Reorder the terms: -2 + 12x = 2(-6 + x) -2 + 12x = (-6 * 2 + x * 2) -2 + 12x = (-12 + 2x) Solving -2 + 12x = -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. -2 + 12x + -2x = -12 + 2x + -2x Combine like terms: 12x + -2x = 10x -2 + 10x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 10x = -12 + 0 -2 + 10x = -12 Add '2' to each side of the equation. -2 + 2 + 10x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = -12 + 2 10x = -12 + 2 Combine like terms: -12 + 2 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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