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Simplifying 12x + 8 = 13x + 2 Reorder the terms: 8 + 12x = 13x + 2 Reorder the terms: 8 + 12x = 2 + 13x Solving 8 + 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. 8 + 12x + -13x = 2 + 13x + -13x Combine like terms: 12x + -13x = -1x 8 + -1x = 2 + 13x + -13x Combine like terms: 13x + -13x = 0 8 + -1x = 2 + 0 8 + -1x = 2 Add '-8' to each side of the equation. 8 + -8 + -1x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 2 + -8 -1x = 2 + -8 Combine like terms: 2 + -8 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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