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Simplifying 3(7x + -1) + -2 = -31 + 8x Reorder the terms: 3(-1 + 7x) + -2 = -31 + 8x (-1 * 3 + 7x * 3) + -2 = -31 + 8x (-3 + 21x) + -2 = -31 + 8x Reorder the terms: -3 + -2 + 21x = -31 + 8x Combine like terms: -3 + -2 = -5 -5 + 21x = -31 + 8x Solving -5 + 21x = -31 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 21x + -8x = -31 + 8x + -8x Combine like terms: 21x + -8x = 13x -5 + 13x = -31 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 13x = -31 + 0 -5 + 13x = -31 Add '5' to each side of the equation. -5 + 5 + 13x = -31 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = -31 + 5 13x = -31 + 5 Combine like terms: -31 + 5 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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