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Simplifying 26x + 13 = 5(5x + 6) Reorder the terms: 13 + 26x = 5(5x + 6) Reorder the terms: 13 + 26x = 5(6 + 5x) 13 + 26x = (6 * 5 + 5x * 5) 13 + 26x = (30 + 25x) Solving 13 + 26x = 30 + 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. 13 + 26x + -25x = 30 + 25x + -25x Combine like terms: 26x + -25x = 1x 13 + 1x = 30 + 25x + -25x Combine like terms: 25x + -25x = 0 13 + 1x = 30 + 0 13 + 1x = 30 Add '-13' to each side of the equation. 13 + -13 + 1x = 30 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 30 + -13 1x = 30 + -13 Combine like terms: 30 + -13 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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