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Simplifying 5x + 2(12 + -4x) = 82 + x 5x + (12 * 2 + -4x * 2) = 82 + x 5x + (24 + -8x) = 82 + x Reorder the terms: 24 + 5x + -8x = 82 + x Combine like terms: 5x + -8x = -3x 24 + -3x = 82 + x Solving 24 + -3x = 82 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 24 + -3x + -1x = 82 + x + -1x Combine like terms: -3x + -1x = -4x 24 + -4x = 82 + x + -1x Combine like terms: x + -1x = 0 24 + -4x = 82 + 0 24 + -4x = 82 Add '-24' to each side of the equation. 24 + -24 + -4x = 82 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 82 + -24 -4x = 82 + -24 Combine like terms: 82 + -24 = 58 -4x = 58 Divide each side by '-4'. x = -14.5 Simplifying x = -14.5
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