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Simplifying 2(4 + 3x) + 2(x + 6) = 32 (4 * 2 + 3x * 2) + 2(x + 6) = 32 (8 + 6x) + 2(x + 6) = 32 Reorder the terms: 8 + 6x + 2(6 + x) = 32 8 + 6x + (6 * 2 + x * 2) = 32 8 + 6x + (12 + 2x) = 32 Reorder the terms: 8 + 12 + 6x + 2x = 32 Combine like terms: 8 + 12 = 20 20 + 6x + 2x = 32 Combine like terms: 6x + 2x = 8x 20 + 8x = 32 Solving 20 + 8x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 8x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 32 + -20 8x = 32 + -20 Combine like terms: 32 + -20 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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