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Simplifying 7x + 3(4x + -17) = 82 Reorder the terms: 7x + 3(-17 + 4x) = 82 7x + (-17 * 3 + 4x * 3) = 82 7x + (-51 + 12x) = 82 Reorder the terms: -51 + 7x + 12x = 82 Combine like terms: 7x + 12x = 19x -51 + 19x = 82 Solving -51 + 19x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 19x = 82 + 51 Combine like terms: -51 + 51 = 0 0 + 19x = 82 + 51 19x = 82 + 51 Combine like terms: 82 + 51 = 133 19x = 133 Divide each side by '19'. x = 7 Simplifying x = 7
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