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Simplifying -2(x + 7) = 2(3x + 9) Reorder the terms: -2(7 + x) = 2(3x + 9) (7 * -2 + x * -2) = 2(3x + 9) (-14 + -2x) = 2(3x + 9) Reorder the terms: -14 + -2x = 2(9 + 3x) -14 + -2x = (9 * 2 + 3x * 2) -14 + -2x = (18 + 6x) Solving -14 + -2x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + -2x + -6x = 18 + 6x + -6x Combine like terms: -2x + -6x = -8x -14 + -8x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -8x = 18 + 0 -14 + -8x = 18 Add '14' to each side of the equation. -14 + 14 + -8x = 18 + 14 Combine like terms: -14 + 14 = 0 0 + -8x = 18 + 14 -8x = 18 + 14 Combine like terms: 18 + 14 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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