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Simplifying -2(-12x + 6) = 21x + 12 Reorder the terms: -2(6 + -12x) = 21x + 12 (6 * -2 + -12x * -2) = 21x + 12 (-12 + 24x) = 21x + 12 Reorder the terms: -12 + 24x = 12 + 21x Solving -12 + 24x = 12 + 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. -12 + 24x + -21x = 12 + 21x + -21x Combine like terms: 24x + -21x = 3x -12 + 3x = 12 + 21x + -21x Combine like terms: 21x + -21x = 0 -12 + 3x = 12 + 0 -12 + 3x = 12 Add '12' to each side of the equation. -12 + 12 + 3x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 12 + 12 3x = 12 + 12 Combine like terms: 12 + 12 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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