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Simplifying -2(x + 7) = 12x Reorder the terms: -2(7 + x) = 12x (7 * -2 + x * -2) = 12x (-14 + -2x) = 12x Solving -14 + -2x = 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. -14 + -2x + -12x = 12x + -12x Combine like terms: -2x + -12x = -14x -14 + -14x = 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -14x = 0 Add '14' to each side of the equation. -14 + 14 + -14x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -14x = 0 + 14 -14x = 0 + 14 Combine like terms: 0 + 14 = 14 -14x = 14 Divide each side by '-14'. x = -1 Simplifying x = -1
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