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Simplifying 5(-1 + 7x) + -1 = 274 (-1 * 5 + 7x * 5) + -1 = 274 (-5 + 35x) + -1 = 274 Reorder the terms: -5 + -1 + 35x = 274 Combine like terms: -5 + -1 = -6 -6 + 35x = 274 Solving -6 + 35x = 274 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 35x = 274 + 6 Combine like terms: -6 + 6 = 0 0 + 35x = 274 + 6 35x = 274 + 6 Combine like terms: 274 + 6 = 280 35x = 280 Divide each side by '35'. x = 8 Simplifying x = 8
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