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Simplifying 3x + 4(4x + -8) = 82 Reorder the terms: 3x + 4(-8 + 4x) = 82 3x + (-8 * 4 + 4x * 4) = 82 3x + (-32 + 16x) = 82 Reorder the terms: -32 + 3x + 16x = 82 Combine like terms: 3x + 16x = 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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