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Simplifying 2(x + 1) + 4(4x + 5) = 92 Reorder the terms: 2(1 + x) + 4(4x + 5) = 92 (1 * 2 + x * 2) + 4(4x + 5) = 92 (2 + 2x) + 4(4x + 5) = 92 Reorder the terms: 2 + 2x + 4(5 + 4x) = 92 2 + 2x + (5 * 4 + 4x * 4) = 92 2 + 2x + (20 + 16x) = 92 Reorder the terms: 2 + 20 + 2x + 16x = 92 Combine like terms: 2 + 20 = 22 22 + 2x + 16x = 92 Combine like terms: 2x + 16x = 18x 22 + 18x = 92 Solving 22 + 18x = 92 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 18x = 92 + -22 Combine like terms: 22 + -22 = 0 0 + 18x = 92 + -22 18x = 92 + -22 Combine like terms: 92 + -22 = 70 18x = 70 Divide each side by '18'. x = 3.888888889 Simplifying x = 3.888888889
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