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Simplifying 2(2x + 4) + 7 = 47 Reorder the terms: 2(4 + 2x) + 7 = 47 (4 * 2 + 2x * 2) + 7 = 47 (8 + 4x) + 7 = 47 Reorder the terms: 8 + 7 + 4x = 47 Combine like terms: 8 + 7 = 15 15 + 4x = 47 Solving 15 + 4x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4x = 47 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 47 + -15 4x = 47 + -15 Combine like terms: 47 + -15 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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