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Simplifying 7x + 5(2x + -7) = 169 Reorder the terms: 7x + 5(-7 + 2x) = 169 7x + (-7 * 5 + 2x * 5) = 169 7x + (-35 + 10x) = 169 Reorder the terms: -35 + 7x + 10x = 169 Combine like terms: 7x + 10x = 17x -35 + 17x = 169 Solving -35 + 17x = 169 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 + 17x = 169 + 35 Combine like terms: -35 + 35 = 0 0 + 17x = 169 + 35 17x = 169 + 35 Combine like terms: 169 + 35 = 204 17x = 204 Divide each side by '17'. x = 12 Simplifying x = 12
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