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