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Simplifying 11x + 2 = 12x + -6 Reorder the terms: 2 + 11x = 12x + -6 Reorder the terms: 2 + 11x = -6 + 12x Solving 2 + 11x = -6 + 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 + 11x + -12x = -6 + 12x + -12x Combine like terms: 11x + -12x = -1x 2 + -1x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -1x = -6 + 0 2 + -1x = -6 Add '-2' to each side of the equation. 2 + -2 + -1x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -6 + -2 -1x = -6 + -2 Combine like terms: -6 + -2 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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