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Simplifying -7(2 + -4x) = 7(7x + 1) (2 * -7 + -4x * -7) = 7(7x + 1) (-14 + 28x) = 7(7x + 1) Reorder the terms: -14 + 28x = 7(1 + 7x) -14 + 28x = (1 * 7 + 7x * 7) -14 + 28x = (7 + 49x) Solving -14 + 28x = 7 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. -14 + 28x + -49x = 7 + 49x + -49x Combine like terms: 28x + -49x = -21x -14 + -21x = 7 + 49x + -49x Combine like terms: 49x + -49x = 0 -14 + -21x = 7 + 0 -14 + -21x = 7 Add '14' to each side of the equation. -14 + 14 + -21x = 7 + 14 Combine like terms: -14 + 14 = 0 0 + -21x = 7 + 14 -21x = 7 + 14 Combine like terms: 7 + 14 = 21 -21x = 21 Divide each side by '-21'. x = -1 Simplifying x = -1
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