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Simplifying 4(8x + 3) + 3(2x + 6) = 0 Reorder the terms: 4(3 + 8x) + 3(2x + 6) = 0 (3 * 4 + 8x * 4) + 3(2x + 6) = 0 (12 + 32x) + 3(2x + 6) = 0 Reorder the terms: 12 + 32x + 3(6 + 2x) = 0 12 + 32x + (6 * 3 + 2x * 3) = 0 12 + 32x + (18 + 6x) = 0 Reorder the terms: 12 + 18 + 32x + 6x = 0 Combine like terms: 12 + 18 = 30 30 + 32x + 6x = 0 Combine like terms: 32x + 6x = 38x 30 + 38x = 0 Solving 30 + 38x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 38x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 38x = 0 + -30 38x = 0 + -30 Combine like terms: 0 + -30 = -30 38x = -30 Divide each side by '38'. x = -0.7894736842 Simplifying x = -0.7894736842
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