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Simplifying -7(7x + 7) = 49x + 49 Reorder the terms: -7(7 + 7x) = 49x + 49 (7 * -7 + 7x * -7) = 49x + 49 (-49 + -49x) = 49x + 49 Reorder the terms: -49 + -49x = 49 + 49x Solving -49 + -49x = 49 + 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. -49 + -49x + -49x = 49 + 49x + -49x Combine like terms: -49x + -49x = -98x -49 + -98x = 49 + 49x + -49x Combine like terms: 49x + -49x = 0 -49 + -98x = 49 + 0 -49 + -98x = 49 Add '49' to each side of the equation. -49 + 49 + -98x = 49 + 49 Combine like terms: -49 + 49 = 0 0 + -98x = 49 + 49 -98x = 49 + 49 Combine like terms: 49 + 49 = 98 -98x = 98 Divide each side by '-98'. x = -1 Simplifying x = -1
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