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Simplifying 625(x + 3) = 25(x + 12) Reorder the terms: 625(3 + x) = 25(x + 12) (3 * 625 + x * 625) = 25(x + 12) (1875 + 625x) = 25(x + 12) Reorder the terms: 1875 + 625x = 25(12 + x) 1875 + 625x = (12 * 25 + x * 25) 1875 + 625x = (300 + 25x) Solving 1875 + 625x = 300 + 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. 1875 + 625x + -25x = 300 + 25x + -25x Combine like terms: 625x + -25x = 600x 1875 + 600x = 300 + 25x + -25x Combine like terms: 25x + -25x = 0 1875 + 600x = 300 + 0 1875 + 600x = 300 Add '-1875' to each side of the equation. 1875 + -1875 + 600x = 300 + -1875 Combine like terms: 1875 + -1875 = 0 0 + 600x = 300 + -1875 600x = 300 + -1875 Combine like terms: 300 + -1875 = -1575 600x = -1575 Divide each side by '600'. x = -2.625 Simplifying x = -2.625
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