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Simplifying 2(4x + 1) = 42 Reorder the terms: 2(1 + 4x) = 42 (1 * 2 + 4x * 2) = 42 (2 + 8x) = 42 Solving 2 + 8x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8x = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 42 + -2 8x = 42 + -2 Combine like terms: 42 + -2 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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