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Simplifying 2(-7x + -7) = 12(x + 1) Reorder the terms: 2(-7 + -7x) = 12(x + 1) (-7 * 2 + -7x * 2) = 12(x + 1) (-14 + -14x) = 12(x + 1) Reorder the terms: -14 + -14x = 12(1 + x) -14 + -14x = (1 * 12 + x * 12) -14 + -14x = (12 + 12x) Solving -14 + -14x = 12 + 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 + -14x + -12x = 12 + 12x + -12x Combine like terms: -14x + -12x = -26x -14 + -26x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -26x = 12 + 0 -14 + -26x = 12 Add '14' to each side of the equation. -14 + 14 + -26x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + -26x = 12 + 14 -26x = 12 + 14 Combine like terms: 12 + 14 = 26 -26x = 26 Divide each side by '-26'. x = -1 Simplifying x = -1
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