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Simplifying 12x + 6 + -5x = 26 + -13x Reorder the terms: 6 + 12x + -5x = 26 + -13x Combine like terms: 12x + -5x = 7x 6 + 7x = 26 + -13x Solving 6 + 7x = 26 + -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 + 7x + 13x = 26 + -13x + 13x Combine like terms: 7x + 13x = 20x 6 + 20x = 26 + -13x + 13x Combine like terms: -13x + 13x = 0 6 + 20x = 26 + 0 6 + 20x = 26 Add '-6' to each side of the equation. 6 + -6 + 20x = 26 + -6 Combine like terms: 6 + -6 = 0 0 + 20x = 26 + -6 20x = 26 + -6 Combine like terms: 26 + -6 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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