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Simplifying 3x + 2 + -4x + 2(3x + 1) = 0 Reorder the terms: 3x + 2 + -4x + 2(1 + 3x) = 0 3x + 2 + -4x + (1 * 2 + 3x * 2) = 0 3x + 2 + -4x + (2 + 6x) = 0 Reorder the terms: 2 + 2 + 3x + -4x + 6x = 0 Combine like terms: 2 + 2 = 4 4 + 3x + -4x + 6x = 0 Combine like terms: 3x + -4x = -1x 4 + -1x + 6x = 0 Combine like terms: -1x + 6x = 5x 4 + 5x = 0 Solving 4 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8
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