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Simplifying -7(7x + -2) + 7 = 49x + 21 Reorder the terms: -7(-2 + 7x) + 7 = 49x + 21 (-2 * -7 + 7x * -7) + 7 = 49x + 21 (14 + -49x) + 7 = 49x + 21 Reorder the terms: 14 + 7 + -49x = 49x + 21 Combine like terms: 14 + 7 = 21 21 + -49x = 49x + 21 Reorder the terms: 21 + -49x = 21 + 49x Add '-21' to each side of the equation. 21 + -21 + -49x = 21 + -21 + 49x Combine like terms: 21 + -21 = 0 0 + -49x = 21 + -21 + 49x -49x = 21 + -21 + 49x Combine like terms: 21 + -21 = 0 -49x = 0 + 49x -49x = 49x Solving -49x = 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. -49x + -49x = 49x + -49x Combine like terms: -49x + -49x = -98x -98x = 49x + -49x Combine like terms: 49x + -49x = 0 -98x = 0 Divide each side by '-98'. x = 0 Simplifying x = 0
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