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Simplifying -7(x + 2) = -12(6 + 3x) Reorder the terms: -7(2 + x) = -12(6 + 3x) (2 * -7 + x * -7) = -12(6 + 3x) (-14 + -7x) = -12(6 + 3x) -14 + -7x = (6 * -12 + 3x * -12) -14 + -7x = (-72 + -36x) Solving -14 + -7x = -72 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -14 + -7x + 36x = -72 + -36x + 36x Combine like terms: -7x + 36x = 29x -14 + 29x = -72 + -36x + 36x Combine like terms: -36x + 36x = 0 -14 + 29x = -72 + 0 -14 + 29x = -72 Add '14' to each side of the equation. -14 + 14 + 29x = -72 + 14 Combine like terms: -14 + 14 = 0 0 + 29x = -72 + 14 29x = -72 + 14 Combine like terms: -72 + 14 = -58 29x = -58 Divide each side by '29'. x = -2 Simplifying x = -2
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