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Simplifying 2x + 4(2 + 5x) = 52 2x + (2 * 4 + 5x * 4) = 52 2x + (8 + 20x) = 52 Reorder the terms: 8 + 2x + 20x = 52 Combine like terms: 2x + 20x = 22x 8 + 22x = 52 Solving 8 + 22x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 22x = 52 + -8 Combine like terms: 8 + -8 = 0 0 + 22x = 52 + -8 22x = 52 + -8 Combine like terms: 52 + -8 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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