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Simplifying 2x + 26 = 7x + 1 Reorder the terms: 26 + 2x = 7x + 1 Reorder the terms: 26 + 2x = 1 + 7x Solving 26 + 2x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 26 + 2x + -7x = 1 + 7x + -7x Combine like terms: 2x + -7x = -5x 26 + -5x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 26 + -5x = 1 + 0 26 + -5x = 1 Add '-26' to each side of the equation. 26 + -26 + -5x = 1 + -26 Combine like terms: 26 + -26 = 0 0 + -5x = 1 + -26 -5x = 1 + -26 Combine like terms: 1 + -26 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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