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Simplifying 4(3x + 2) + 2(2x + -1) = 0 Reorder the terms: 4(2 + 3x) + 2(2x + -1) = 0 (2 * 4 + 3x * 4) + 2(2x + -1) = 0 (8 + 12x) + 2(2x + -1) = 0 Reorder the terms: 8 + 12x + 2(-1 + 2x) = 0 8 + 12x + (-1 * 2 + 2x * 2) = 0 8 + 12x + (-2 + 4x) = 0 Reorder the terms: 8 + -2 + 12x + 4x = 0 Combine like terms: 8 + -2 = 6 6 + 12x + 4x = 0 Combine like terms: 12x + 4x = 16x 6 + 16x = 0 Solving 6 + 16x = 0 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 + 16x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 16x = 0 + -6 16x = 0 + -6 Combine like terms: 0 + -6 = -6 16x = -6 Divide each side by '16'. x = -0.375 Simplifying x = -0.375
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