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Simplifying 4(8x + 6) + 7(12 + x) = 0 Reorder the terms: 4(6 + 8x) + 7(12 + x) = 0 (6 * 4 + 8x * 4) + 7(12 + x) = 0 (24 + 32x) + 7(12 + x) = 0 24 + 32x + (12 * 7 + x * 7) = 0 24 + 32x + (84 + 7x) = 0 Reorder the terms: 24 + 84 + 32x + 7x = 0 Combine like terms: 24 + 84 = 108 108 + 32x + 7x = 0 Combine like terms: 32x + 7x = 39x 108 + 39x = 0 Solving 108 + 39x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + 39x = 0 + -108 Combine like terms: 108 + -108 = 0 0 + 39x = 0 + -108 39x = 0 + -108 Combine like terms: 0 + -108 = -108 39x = -108 Divide each side by '39'. x = -2.769230769 Simplifying x = -2.769230769
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