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Simplifying 4(3 + 2x) + 8 = 52 (3 * 4 + 2x * 4) + 8 = 52 (12 + 8x) + 8 = 52 Reorder the terms: 12 + 8 + 8x = 52 Combine like terms: 12 + 8 = 20 20 + 8x = 52 Solving 20 + 8x = 52 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 = 52 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 52 + -20 8x = 52 + -20 Combine like terms: 52 + -20 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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