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Simplifying 2(4x + 1) + -4x = 14 Reorder the terms: 2(1 + 4x) + -4x = 14 (1 * 2 + 4x * 2) + -4x = 14 (2 + 8x) + -4x = 14 Combine like terms: 8x + -4x = 4x 2 + 4x = 14 Solving 2 + 4x = 14 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 + 4x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 14 + -2 4x = 14 + -2 Combine like terms: 14 + -2 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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