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Simplifying 5x + 2(7x + -16) = 82 Reorder the terms: 5x + 2(-16 + 7x) = 82 5x + (-16 * 2 + 7x * 2) = 82 5x + (-32 + 14x) = 82 Reorder the terms: -32 + 5x + 14x = 82 Combine like terms: 5x + 14x = 19x -32 + 19x = 82 Solving -32 + 19x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 19x = 82 + 32 Combine like terms: -32 + 32 = 0 0 + 19x = 82 + 32 19x = 82 + 32 Combine like terms: 82 + 32 = 114 19x = 114 Divide each side by '19'. x = 6 Simplifying x = 6
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