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Simplifying 7(3x + 8) = 31 + -4x Reorder the terms: 7(8 + 3x) = 31 + -4x (8 * 7 + 3x * 7) = 31 + -4x (56 + 21x) = 31 + -4x Solving 56 + 21x = 31 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 56 + 21x + 4x = 31 + -4x + 4x Combine like terms: 21x + 4x = 25x 56 + 25x = 31 + -4x + 4x Combine like terms: -4x + 4x = 0 56 + 25x = 31 + 0 56 + 25x = 31 Add '-56' to each side of the equation. 56 + -56 + 25x = 31 + -56 Combine like terms: 56 + -56 = 0 0 + 25x = 31 + -56 25x = 31 + -56 Combine like terms: 31 + -56 = -25 25x = -25 Divide each side by '25'. x = -1 Simplifying x = -1
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