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Simplifying -7(x + 2) = -9(2x + 4) Reorder the terms: -7(2 + x) = -9(2x + 4) (2 * -7 + x * -7) = -9(2x + 4) (-14 + -7x) = -9(2x + 4) Reorder the terms: -14 + -7x = -9(4 + 2x) -14 + -7x = (4 * -9 + 2x * -9) -14 + -7x = (-36 + -18x) Solving -14 + -7x = -36 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -14 + -7x + 18x = -36 + -18x + 18x Combine like terms: -7x + 18x = 11x -14 + 11x = -36 + -18x + 18x Combine like terms: -18x + 18x = 0 -14 + 11x = -36 + 0 -14 + 11x = -36 Add '14' to each side of the equation. -14 + 14 + 11x = -36 + 14 Combine like terms: -14 + 14 = 0 0 + 11x = -36 + 14 11x = -36 + 14 Combine like terms: -36 + 14 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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