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Simplifying 6x + -7(7x + 17) = 182 Reorder the terms: 6x + -7(17 + 7x) = 182 6x + (17 * -7 + 7x * -7) = 182 6x + (-119 + -49x) = 182 Reorder the terms: -119 + 6x + -49x = 182 Combine like terms: 6x + -49x = -43x -119 + -43x = 182 Solving -119 + -43x = 182 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 + -43x = 182 + 119 Combine like terms: -119 + 119 = 0 0 + -43x = 182 + 119 -43x = 182 + 119 Combine like terms: 182 + 119 = 301 -43x = 301 Divide each side by '-43'. x = -7 Simplifying x = -7
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