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Simplifying 26x + 16 = 5(5x + 1) Reorder the terms: 16 + 26x = 5(5x + 1) Reorder the terms: 16 + 26x = 5(1 + 5x) 16 + 26x = (1 * 5 + 5x * 5) 16 + 26x = (5 + 25x) Solving 16 + 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. 16 + 26x + -25x = 5 + 25x + -25x Combine like terms: 26x + -25x = 1x 16 + 1x = 5 + 25x + -25x Combine like terms: 25x + -25x = 0 16 + 1x = 5 + 0 16 + 1x = 5 Add '-16' to each side of the equation. 16 + -16 + 1x = 5 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 5 + -16 1x = 5 + -16 Combine like terms: 5 + -16 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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