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Simplifying 26x + -1 = 5(5x + 3) + -14 Reorder the terms: -1 + 26x = 5(5x + 3) + -14 Reorder the terms: -1 + 26x = 5(3 + 5x) + -14 -1 + 26x = (3 * 5 + 5x * 5) + -14 -1 + 26x = (15 + 25x) + -14 Reorder the terms: -1 + 26x = 15 + -14 + 25x Combine like terms: 15 + -14 = 1 -1 + 26x = 1 + 25x Solving -1 + 26x = 1 + 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 = 1 + 25x + -25x Combine like terms: 26x + -25x = 1x -1 + 1x = 1 + 25x + -25x Combine like terms: 25x + -25x = 0 -1 + 1x = 1 + 0 -1 + 1x = 1 Add '1' to each side of the equation. -1 + 1 + 1x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 1 + 1 1x = 1 + 1 Combine like terms: 1 + 1 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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