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Simplifying -8x + 31 = -7(3x + 3) Reorder the terms: 31 + -8x = -7(3x + 3) Reorder the terms: 31 + -8x = -7(3 + 3x) 31 + -8x = (3 * -7 + 3x * -7) 31 + -8x = (-21 + -21x) Solving 31 + -8x = -21 + -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 + -8x + 21x = -21 + -21x + 21x Combine like terms: -8x + 21x = 13x 31 + 13x = -21 + -21x + 21x Combine like terms: -21x + 21x = 0 31 + 13x = -21 + 0 31 + 13x = -21 Add '-31' to each side of the equation. 31 + -31 + 13x = -21 + -31 Combine like terms: 31 + -31 = 0 0 + 13x = -21 + -31 13x = -21 + -31 Combine like terms: -21 + -31 = -52 13x = -52 Divide each side by '13'. x = -4 Simplifying x = -4
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