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Simplifying 52(x + 2) = 455 + 25x Reorder the terms: 52(2 + x) = 455 + 25x (2 * 52 + x * 52) = 455 + 25x (104 + 52x) = 455 + 25x Solving 104 + 52x = 455 + 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. 104 + 52x + -25x = 455 + 25x + -25x Combine like terms: 52x + -25x = 27x 104 + 27x = 455 + 25x + -25x Combine like terms: 25x + -25x = 0 104 + 27x = 455 + 0 104 + 27x = 455 Add '-104' to each side of the equation. 104 + -104 + 27x = 455 + -104 Combine like terms: 104 + -104 = 0 0 + 27x = 455 + -104 27x = 455 + -104 Combine like terms: 455 + -104 = 351 27x = 351 Divide each side by '27'. x = 13 Simplifying x = 13
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