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Simplifying 12x + -6 = 13x + 2 Reorder the terms: -6 + 12x = 13x + 2 Reorder the terms: -6 + 12x = 2 + 13x Solving -6 + 12x = 2 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -6 + 12x + -13x = 2 + 13x + -13x Combine like terms: 12x + -13x = -1x -6 + -1x = 2 + 13x + -13x Combine like terms: 13x + -13x = 0 -6 + -1x = 2 + 0 -6 + -1x = 2 Add '6' to each side of the equation. -6 + 6 + -1x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 2 + 6 -1x = 2 + 6 Combine like terms: 2 + 6 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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