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Simplifying -8(3x + 4) + 5x = 82 Reorder the terms: -8(4 + 3x) + 5x = 82 (4 * -8 + 3x * -8) + 5x = 82 (-32 + -24x) + 5x = 82 Combine like terms: -24x + 5x = -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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