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Simplifying 7x + 31 = 25x + 1 Reorder the terms: 31 + 7x = 25x + 1 Reorder the terms: 31 + 7x = 1 + 25x Solving 31 + 7x = 1 + 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. 31 + 7x + -25x = 1 + 25x + -25x Combine like terms: 7x + -25x = -18x 31 + -18x = 1 + 25x + -25x Combine like terms: 25x + -25x = 0 31 + -18x = 1 + 0 31 + -18x = 1 Add '-31' to each side of the equation. 31 + -31 + -18x = 1 + -31 Combine like terms: 31 + -31 = 0 0 + -18x = 1 + -31 -18x = 1 + -31 Combine like terms: 1 + -31 = -30 -18x = -30 Divide each side by '-18'. x = 1.666666667 Simplifying x = 1.666666667
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