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Simplifying 40x = 25(x + 1) Reorder the terms: 40x = 25(1 + x) 40x = (1 * 25 + x * 25) 40x = (25 + 25x) Solving 40x = 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. 40x + -25x = 25 + 25x + -25x Combine like terms: 40x + -25x = 15x 15x = 25 + 25x + -25x Combine like terms: 25x + -25x = 0 15x = 25 + 0 15x = 25 Divide each side by '15'. x = 1.666666667 Simplifying x = 1.666666667
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