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