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Simplifying 26x + 17 = 5(5x + 7) Reorder the terms: 17 + 26x = 5(5x + 7) Reorder the terms: 17 + 26x = 5(7 + 5x) 17 + 26x = (7 * 5 + 5x * 5) 17 + 26x = (35 + 25x) Solving 17 + 26x = 35 + 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. 17 + 26x + -25x = 35 + 25x + -25x Combine like terms: 26x + -25x = 1x 17 + 1x = 35 + 25x + -25x Combine like terms: 25x + -25x = 0 17 + 1x = 35 + 0 17 + 1x = 35 Add '-17' to each side of the equation. 17 + -17 + 1x = 35 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 35 + -17 1x = 35 + -17 Combine like terms: 35 + -17 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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