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