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Simplifying 175 = (25)(x + 1) Reorder the terms: 175 = 25(1 + x) 175 = (1 * 25 + x * 25) 175 = (25 + 25x) Solving 175 = 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. 175 + -25x = 25 + 25x + -25x Combine like terms: 25x + -25x = 0 175 + -25x = 25 + 0 175 + -25x = 25 Add '-175' to each side of the equation. 175 + -175 + -25x = 25 + -175 Combine like terms: 175 + -175 = 0 0 + -25x = 25 + -175 -25x = 25 + -175 Combine like terms: 25 + -175 = -150 -25x = -150 Divide each side by '-25'. x = 6 Simplifying x = 6
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