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Simplifying -7(8x + 5) + 7x = 259 Reorder the terms: -7(5 + 8x) + 7x = 259 (5 * -7 + 8x * -7) + 7x = 259 (-35 + -56x) + 7x = 259 Combine like terms: -56x + 7x = -49x -35 + -49x = 259 Solving -35 + -49x = 259 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -49x = 259 + 35 Combine like terms: -35 + 35 = 0 0 + -49x = 259 + 35 -49x = 259 + 35 Combine like terms: 259 + 35 = 294 -49x = 294 Divide each side by '-49'. x = -6 Simplifying x = -6
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