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Simplifying -7(7x + -1) + 8 = 49x + 15 Reorder the terms: -7(-1 + 7x) + 8 = 49x + 15 (-1 * -7 + 7x * -7) + 8 = 49x + 15 (7 + -49x) + 8 = 49x + 15 Reorder the terms: 7 + 8 + -49x = 49x + 15 Combine like terms: 7 + 8 = 15 15 + -49x = 49x + 15 Reorder the terms: 15 + -49x = 15 + 49x Add '-15' to each side of the equation. 15 + -15 + -49x = 15 + -15 + 49x Combine like terms: 15 + -15 = 0 0 + -49x = 15 + -15 + 49x -49x = 15 + -15 + 49x Combine like terms: 15 + -15 = 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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