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Simplifying 15x + 26 + -2x = 6x + 61 Reorder the terms: 26 + 15x + -2x = 6x + 61 Combine like terms: 15x + -2x = 13x 26 + 13x = 6x + 61 Reorder the terms: 26 + 13x = 61 + 6x Solving 26 + 13x = 61 + 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. 26 + 13x + -6x = 61 + 6x + -6x Combine like terms: 13x + -6x = 7x 26 + 7x = 61 + 6x + -6x Combine like terms: 6x + -6x = 0 26 + 7x = 61 + 0 26 + 7x = 61 Add '-26' to each side of the equation. 26 + -26 + 7x = 61 + -26 Combine like terms: 26 + -26 = 0 0 + 7x = 61 + -26 7x = 61 + -26 Combine like terms: 61 + -26 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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