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Simplifying -7(7x + -7) + 7x = 343 Reorder the terms: -7(-7 + 7x) + 7x = 343 (-7 * -7 + 7x * -7) + 7x = 343 (49 + -49x) + 7x = 343 Combine like terms: -49x + 7x = -42x 49 + -42x = 343 Solving 49 + -42x = 343 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -42x = 343 + -49 Combine like terms: 49 + -49 = 0 0 + -42x = 343 + -49 -42x = 343 + -49 Combine like terms: 343 + -49 = 294 -42x = 294 Divide each side by '-42'. x = -7 Simplifying x = -7
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