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Simplifying 2(3x + 2) = 38 + -2x Reorder the terms: 2(2 + 3x) = 38 + -2x (2 * 2 + 3x * 2) = 38 + -2x (4 + 6x) = 38 + -2x Solving 4 + 6x = 38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 6x + 2x = 38 + -2x + 2x Combine like terms: 6x + 2x = 8x 4 + 8x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 8x = 38 + 0 4 + 8x = 38 Add '-4' to each side of the equation. 4 + -4 + 8x = 38 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 38 + -4 8x = 38 + -4 Combine like terms: 38 + -4 = 34 8x = 34 Divide each side by '8'. x = 4.25 Simplifying x = 4.25
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