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Simplifying 4(x + 2) = 52 Reorder the terms: 4(2 + x) = 52 (2 * 4 + x * 4) = 52 (8 + 4x) = 52 Solving 8 + 4x = 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 + 4x = 52 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 52 + -8 4x = 52 + -8 Combine like terms: 52 + -8 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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