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Simplifying 6x + 26 = 13x + -27 Reorder the terms: 26 + 6x = 13x + -27 Reorder the terms: 26 + 6x = -27 + 13x Solving 26 + 6x = -27 + 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. 26 + 6x + -13x = -27 + 13x + -13x Combine like terms: 6x + -13x = -7x 26 + -7x = -27 + 13x + -13x Combine like terms: 13x + -13x = 0 26 + -7x = -27 + 0 26 + -7x = -27 Add '-26' to each side of the equation. 26 + -26 + -7x = -27 + -26 Combine like terms: 26 + -26 = 0 0 + -7x = -27 + -26 -7x = -27 + -26 Combine like terms: -27 + -26 = -53 -7x = -53 Divide each side by '-7'. x = 7.571428571 Simplifying x = 7.571428571
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