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Simplifying 8(3x + 2) + 4(x + 4) = 0 Reorder the terms: 8(2 + 3x) + 4(x + 4) = 0 (2 * 8 + 3x * 8) + 4(x + 4) = 0 (16 + 24x) + 4(x + 4) = 0 Reorder the terms: 16 + 24x + 4(4 + x) = 0 16 + 24x + (4 * 4 + x * 4) = 0 16 + 24x + (16 + 4x) = 0 Reorder the terms: 16 + 16 + 24x + 4x = 0 Combine like terms: 16 + 16 = 32 32 + 24x + 4x = 0 Combine like terms: 24x + 4x = 28x 32 + 28x = 0 Solving 32 + 28x = 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 + 28x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 28x = 0 + -32 28x = 0 + -32 Combine like terms: 0 + -32 = -32 28x = -32 Divide each side by '28'. x = -1.142857143 Simplifying x = -1.142857143
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