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Simplifying 3(2x + 4) + 4(x + 5) = 0 Reorder the terms: 3(4 + 2x) + 4(x + 5) = 0 (4 * 3 + 2x * 3) + 4(x + 5) = 0 (12 + 6x) + 4(x + 5) = 0 Reorder the terms: 12 + 6x + 4(5 + x) = 0 12 + 6x + (5 * 4 + x * 4) = 0 12 + 6x + (20 + 4x) = 0 Reorder the terms: 12 + 20 + 6x + 4x = 0 Combine like terms: 12 + 20 = 32 32 + 6x + 4x = 0 Combine like terms: 6x + 4x = 10x 32 + 10x = 0 Solving 32 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 10x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 10x = 0 + -32 10x = 0 + -32 Combine like terms: 0 + -32 = -32 10x = -32 Divide each side by '10'. x = -3.2 Simplifying x = -3.2
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