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Simplifying 2(x + 7) = -12(x + 1) Reorder the terms: 2(7 + x) = -12(x + 1) (7 * 2 + x * 2) = -12(x + 1) (14 + 2x) = -12(x + 1) Reorder the terms: 14 + 2x = -12(1 + x) 14 + 2x = (1 * -12 + x * -12) 14 + 2x = (-12 + -12x) Solving 14 + 2x = -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 + 2x + 12x = -12 + -12x + 12x Combine like terms: 2x + 12x = 14x 14 + 14x = -12 + -12x + 12x Combine like terms: -12x + 12x = 0 14 + 14x = -12 + 0 14 + 14x = -12 Add '-14' to each side of the equation. 14 + -14 + 14x = -12 + -14 Combine like terms: 14 + -14 = 0 0 + 14x = -12 + -14 14x = -12 + -14 Combine like terms: -12 + -14 = -26 14x = -26 Divide each side by '14'. x = -1.857142857 Simplifying x = -1.857142857
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