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Simplifying 26x + 19 = 5(5x + 1) Reorder the terms: 19 + 26x = 5(5x + 1) Reorder the terms: 19 + 26x = 5(1 + 5x) 19 + 26x = (1 * 5 + 5x * 5) 19 + 26x = (5 + 25x) Solving 19 + 26x = 5 + 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. 19 + 26x + -25x = 5 + 25x + -25x Combine like terms: 26x + -25x = 1x 19 + 1x = 5 + 25x + -25x Combine like terms: 25x + -25x = 0 19 + 1x = 5 + 0 19 + 1x = 5 Add '-19' to each side of the equation. 19 + -19 + 1x = 5 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = 5 + -19 1x = 5 + -19 Combine like terms: 5 + -19 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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