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Simplifying 2(4x + 1) = 5x + 8 Reorder the terms: 2(1 + 4x) = 5x + 8 (1 * 2 + 4x * 2) = 5x + 8 (2 + 8x) = 5x + 8 Reorder the terms: 2 + 8x = 8 + 5x Solving 2 + 8x = 8 + 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. 2 + 8x + -5x = 8 + 5x + -5x Combine like terms: 8x + -5x = 3x 2 + 3x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 3x = 8 + 0 2 + 3x = 8 Add '-2' to each side of the equation. 2 + -2 + 3x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 8 + -2 3x = 8 + -2 Combine like terms: 8 + -2 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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