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Simplifying 13x + 6 = 6x + 7 Reorder the terms: 6 + 13x = 6x + 7 Reorder the terms: 6 + 13x = 7 + 6x Solving 6 + 13x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 13x + -6x = 7 + 6x + -6x Combine like terms: 13x + -6x = 7x 6 + 7x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 7x = 7 + 0 6 + 7x = 7 Add '-6' to each side of the equation. 6 + -6 + 7x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 7 + -6 7x = 7 + -6 Combine like terms: 7 + -6 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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