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Simplifying 2(3x + 2) = 3x + 8 + 2x Reorder the terms: 2(2 + 3x) = 3x + 8 + 2x (2 * 2 + 3x * 2) = 3x + 8 + 2x (4 + 6x) = 3x + 8 + 2x Reorder the terms: 4 + 6x = 8 + 3x + 2x Combine like terms: 3x + 2x = 5x 4 + 6x = 8 + 5x Solving 4 + 6x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 6x + -5x = 8 + 5x + -5x Combine like terms: 6x + -5x = 1x 4 + 1x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 1x = 8 + 0 4 + 1x = 8 Add '-4' to each side of the equation. 4 + -4 + 1x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 8 + -4 1x = 8 + -4 Combine like terms: 8 + -4 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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