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Simplifying 4(2x + 11) = 92 Reorder the terms: 4(11 + 2x) = 92 (11 * 4 + 2x * 4) = 92 (44 + 8x) = 92 Solving 44 + 8x = 92 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 8x = 92 + -44 Combine like terms: 44 + -44 = 0 0 + 8x = 92 + -44 8x = 92 + -44 Combine like terms: 92 + -44 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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