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Simplifying 7x + 7(5x + -17) = 175 Reorder the terms: 7x + 7(-17 + 5x) = 175 7x + (-17 * 7 + 5x * 7) = 175 7x + (-119 + 35x) = 175 Reorder the terms: -119 + 7x + 35x = 175 Combine like terms: 7x + 35x = 42x -119 + 42x = 175 Solving -119 + 42x = 175 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '119' to each side of the equation. -119 + 119 + 42x = 175 + 119 Combine like terms: -119 + 119 = 0 0 + 42x = 175 + 119 42x = 175 + 119 Combine like terms: 175 + 119 = 294 42x = 294 Divide each side by '42'. x = 7 Simplifying x = 7
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