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Simplifying 4(2x + 7) = 52 Reorder the terms: 4(7 + 2x) = 52 (7 * 4 + 2x * 4) = 52 (28 + 8x) = 52 Solving 28 + 8x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 8x = 52 + -28 Combine like terms: 28 + -28 = 0 0 + 8x = 52 + -28 8x = 52 + -28 Combine like terms: 52 + -28 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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