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Simplifying 3(4x + 1) + 2(1 + -5x) = 2 Reorder the terms: 3(1 + 4x) + 2(1 + -5x) = 2 (1 * 3 + 4x * 3) + 2(1 + -5x) = 2 (3 + 12x) + 2(1 + -5x) = 2 3 + 12x + (1 * 2 + -5x * 2) = 2 3 + 12x + (2 + -10x) = 2 Reorder the terms: 3 + 2 + 12x + -10x = 2 Combine like terms: 3 + 2 = 5 5 + 12x + -10x = 2 Combine like terms: 12x + -10x = 2x 5 + 2x = 2 Solving 5 + 2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 2 + -5 2x = 2 + -5 Combine like terms: 2 + -5 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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