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Simplifying -12(x + 2) = 14x + 2 Reorder the terms: -12(2 + x) = 14x + 2 (2 * -12 + x * -12) = 14x + 2 (-24 + -12x) = 14x + 2 Reorder the terms: -24 + -12x = 2 + 14x Solving -24 + -12x = 2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -24 + -12x + -14x = 2 + 14x + -14x Combine like terms: -12x + -14x = -26x -24 + -26x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 -24 + -26x = 2 + 0 -24 + -26x = 2 Add '24' to each side of the equation. -24 + 24 + -26x = 2 + 24 Combine like terms: -24 + 24 = 0 0 + -26x = 2 + 24 -26x = 2 + 24 Combine like terms: 2 + 24 = 26 -26x = 26 Divide each side by '-26'. x = -1 Simplifying x = -1
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