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Simplifying 2(4x + 1) + x + -8 = 12 Reorder the terms: 2(1 + 4x) + x + -8 = 12 (1 * 2 + 4x * 2) + x + -8 = 12 (2 + 8x) + x + -8 = 12 Reorder the terms: 2 + -8 + 8x + x = 12 Combine like terms: 2 + -8 = -6 -6 + 8x + x = 12 Combine like terms: 8x + x = 9x -6 + 9x = 12 Solving -6 + 9x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 12 + 6 9x = 12 + 6 Combine like terms: 12 + 6 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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