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Simplifying 26x + 1 = 5(5x + 3) Reorder the terms: 1 + 26x = 5(5x + 3) Reorder the terms: 1 + 26x = 5(3 + 5x) 1 + 26x = (3 * 5 + 5x * 5) 1 + 26x = (15 + 25x) Solving 1 + 26x = 15 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 1 + 26x + -25x = 15 + 25x + -25x Combine like terms: 26x + -25x = 1x 1 + 1x = 15 + 25x + -25x Combine like terms: 25x + -25x = 0 1 + 1x = 15 + 0 1 + 1x = 15 Add '-1' to each side of the equation. 1 + -1 + 1x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 15 + -1 1x = 15 + -1 Combine like terms: 15 + -1 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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