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Simplifying 21(x + 11) = 25(x + 7) Reorder the terms: 21(11 + x) = 25(x + 7) (11 * 21 + x * 21) = 25(x + 7) (231 + 21x) = 25(x + 7) Reorder the terms: 231 + 21x = 25(7 + x) 231 + 21x = (7 * 25 + x * 25) 231 + 21x = (175 + 25x) Solving 231 + 21x = 175 + 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. 231 + 21x + -25x = 175 + 25x + -25x Combine like terms: 21x + -25x = -4x 231 + -4x = 175 + 25x + -25x Combine like terms: 25x + -25x = 0 231 + -4x = 175 + 0 231 + -4x = 175 Add '-231' to each side of the equation. 231 + -231 + -4x = 175 + -231 Combine like terms: 231 + -231 = 0 0 + -4x = 175 + -231 -4x = 175 + -231 Combine like terms: 175 + -231 = -56 -4x = -56 Divide each side by '-4'. x = 14 Simplifying x = 14
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