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Simplifying 5x + 2(11 + -4X) = 82 + 8x 5x + (11 * 2 + -4X * 2) = 82 + 8x 5x + (22 + -8X) = 82 + 8x Reorder the terms: 22 + -8X + 5x = 82 + 8x Solving 22 + -8X + 5x = 82 + 8x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -8X + -22 + 5x = 82 + -22 + 8x Reorder the terms: 22 + -22 + -8X + 5x = 82 + -22 + 8x Combine like terms: 22 + -22 = 0 0 + -8X + 5x = 82 + -22 + 8x -8X + 5x = 82 + -22 + 8x Combine like terms: 82 + -22 = 60 -8X + 5x = 60 + 8x Add '-5x' to each side of the equation. -8X + 5x + -5x = 60 + 8x + -5x Combine like terms: 5x + -5x = 0 -8X + 0 = 60 + 8x + -5x -8X = 60 + 8x + -5x Combine like terms: 8x + -5x = 3x -8X = 60 + 3x Divide each side by '-8'. X = -7.5 + -0.375x Simplifying X = -7.5 + -0.375x
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