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Simplifying 12x + 14 = 13x + 6 Reorder the terms: 14 + 12x = 13x + 6 Reorder the terms: 14 + 12x = 6 + 13x Solving 14 + 12x = 6 + 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. 14 + 12x + -13x = 6 + 13x + -13x Combine like terms: 12x + -13x = -1x 14 + -1x = 6 + 13x + -13x Combine like terms: 13x + -13x = 0 14 + -1x = 6 + 0 14 + -1x = 6 Add '-14' to each side of the equation. 14 + -14 + -1x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 6 + -14 -1x = 6 + -14 Combine like terms: 6 + -14 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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