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Simplifying 13x + 25 = 6x + 109 Reorder the terms: 25 + 13x = 6x + 109 Reorder the terms: 25 + 13x = 109 + 6x Solving 25 + 13x = 109 + 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. 25 + 13x + -6x = 109 + 6x + -6x Combine like terms: 13x + -6x = 7x 25 + 7x = 109 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + 7x = 109 + 0 25 + 7x = 109 Add '-25' to each side of the equation. 25 + -25 + 7x = 109 + -25 Combine like terms: 25 + -25 = 0 0 + 7x = 109 + -25 7x = 109 + -25 Combine like terms: 109 + -25 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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