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Simplifying 31 + -7x = -5(5x + 1) + 6 Reorder the terms: 31 + -7x = -5(1 + 5x) + 6 31 + -7x = (1 * -5 + 5x * -5) + 6 31 + -7x = (-5 + -25x) + 6 Reorder the terms: 31 + -7x = -5 + 6 + -25x Combine like terms: -5 + 6 = 1 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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