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Simplifying 2(9 + 2x) = -12x + 2 (9 * 2 + 2x * 2) = -12x + 2 (18 + 4x) = -12x + 2 Reorder the terms: 18 + 4x = 2 + -12x Solving 18 + 4x = 2 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 18 + 4x + 12x = 2 + -12x + 12x Combine like terms: 4x + 12x = 16x 18 + 16x = 2 + -12x + 12x Combine like terms: -12x + 12x = 0 18 + 16x = 2 + 0 18 + 16x = 2 Add '-18' to each side of the equation. 18 + -18 + 16x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + 16x = 2 + -18 16x = 2 + -18 Combine like terms: 2 + -18 = -16 16x = -16 Divide each side by '16'. x = -1 Simplifying x = -1
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