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Simplifying 25(x + 1) = 625(x + -8) Reorder the terms: 25(1 + x) = 625(x + -8) (1 * 25 + x * 25) = 625(x + -8) (25 + 25x) = 625(x + -8) Reorder the terms: 25 + 25x = 625(-8 + x) 25 + 25x = (-8 * 625 + x * 625) 25 + 25x = (-5000 + 625x) Solving 25 + 25x = -5000 + 625x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-625x' to each side of the equation. 25 + 25x + -625x = -5000 + 625x + -625x Combine like terms: 25x + -625x = -600x 25 + -600x = -5000 + 625x + -625x Combine like terms: 625x + -625x = 0 25 + -600x = -5000 + 0 25 + -600x = -5000 Add '-25' to each side of the equation. 25 + -25 + -600x = -5000 + -25 Combine like terms: 25 + -25 = 0 0 + -600x = -5000 + -25 -600x = -5000 + -25 Combine like terms: -5000 + -25 = -5025 -600x = -5025 Divide each side by '-600'. x = 8.375 Simplifying x = 8.375
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