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Simplifying 2(4x + 1) + -3x = 12 Reorder the terms: 2(1 + 4x) + -3x = 12 (1 * 2 + 4x * 2) + -3x = 12 (2 + 8x) + -3x = 12 Combine like terms: 8x + -3x = 5x 2 + 5x = 12 Solving 2 + 5x = 12 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 + 5x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 12 + -2 5x = 12 + -2 Combine like terms: 12 + -2 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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