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