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Simplifying 2(4x + 5) = 1 + 5x Reorder the terms: 2(5 + 4x) = 1 + 5x (5 * 2 + 4x * 2) = 1 + 5x (10 + 8x) = 1 + 5x Solving 10 + 8x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 8x + -5x = 1 + 5x + -5x Combine like terms: 8x + -5x = 3x 10 + 3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 3x = 1 + 0 10 + 3x = 1 Add '-10' to each side of the equation. 10 + -10 + 3x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 1 + -10 3x = 1 + -10 Combine like terms: 1 + -10 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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