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Simplifying -2 + 8(3x + -1) = 3x + -31 Reorder the terms: -2 + 8(-1 + 3x) = 3x + -31 -2 + (-1 * 8 + 3x * 8) = 3x + -31 -2 + (-8 + 24x) = 3x + -31 Combine like terms: -2 + -8 = -10 -10 + 24x = 3x + -31 Reorder the terms: -10 + 24x = -31 + 3x Solving -10 + 24x = -31 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 24x + -3x = -31 + 3x + -3x Combine like terms: 24x + -3x = 21x -10 + 21x = -31 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 21x = -31 + 0 -10 + 21x = -31 Add '10' to each side of the equation. -10 + 10 + 21x = -31 + 10 Combine like terms: -10 + 10 = 0 0 + 21x = -31 + 10 21x = -31 + 10 Combine like terms: -31 + 10 = -21 21x = -21 Divide each side by '21'. x = -1 Simplifying x = -1
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