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Simplifying 26x + 1 = 5(5x + 8) Reorder the terms: 1 + 26x = 5(5x + 8) Reorder the terms: 1 + 26x = 5(8 + 5x) 1 + 26x = (8 * 5 + 5x * 5) 1 + 26x = (40 + 25x) Solving 1 + 26x = 40 + 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 = 40 + 25x + -25x Combine like terms: 26x + -25x = 1x 1 + 1x = 40 + 25x + -25x Combine like terms: 25x + -25x = 0 1 + 1x = 40 + 0 1 + 1x = 40 Add '-1' to each side of the equation. 1 + -1 + 1x = 40 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 40 + -1 1x = 40 + -1 Combine like terms: 40 + -1 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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