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Simplifying 5(x + 7) = 25(x + 1) Reorder the terms: 5(7 + x) = 25(x + 1) (7 * 5 + x * 5) = 25(x + 1) (35 + 5x) = 25(x + 1) Reorder the terms: 35 + 5x = 25(1 + x) 35 + 5x = (1 * 25 + x * 25) 35 + 5x = (25 + 25x) Solving 35 + 5x = 25 + 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. 35 + 5x + -25x = 25 + 25x + -25x Combine like terms: 5x + -25x = -20x 35 + -20x = 25 + 25x + -25x Combine like terms: 25x + -25x = 0 35 + -20x = 25 + 0 35 + -20x = 25 Add '-35' to each side of the equation. 35 + -35 + -20x = 25 + -35 Combine like terms: 35 + -35 = 0 0 + -20x = 25 + -35 -20x = 25 + -35 Combine like terms: 25 + -35 = -10 -20x = -10 Divide each side by '-20'. x = 0.5 Simplifying x = 0.5
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