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Simplifying -4x + 31 = -3(1 + 7x) Reorder the terms: 31 + -4x = -3(1 + 7x) 31 + -4x = (1 * -3 + 7x * -3) 31 + -4x = (-3 + -21x) Solving 31 + -4x = -3 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 31 + -4x + 21x = -3 + -21x + 21x Combine like terms: -4x + 21x = 17x 31 + 17x = -3 + -21x + 21x Combine like terms: -21x + 21x = 0 31 + 17x = -3 + 0 31 + 17x = -3 Add '-31' to each side of the equation. 31 + -31 + 17x = -3 + -31 Combine like terms: 31 + -31 = 0 0 + 17x = -3 + -31 17x = -3 + -31 Combine like terms: -3 + -31 = -34 17x = -34 Divide each side by '17'. x = -2 Simplifying x = -2
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