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Simplifying 4(x + 6) + 8(x + 2) = 0 Reorder the terms: 4(6 + x) + 8(x + 2) = 0 (6 * 4 + x * 4) + 8(x + 2) = 0 (24 + 4x) + 8(x + 2) = 0 Reorder the terms: 24 + 4x + 8(2 + x) = 0 24 + 4x + (2 * 8 + x * 8) = 0 24 + 4x + (16 + 8x) = 0 Reorder the terms: 24 + 16 + 4x + 8x = 0 Combine like terms: 24 + 16 = 40 40 + 4x + 8x = 0 Combine like terms: 4x + 8x = 12x 40 + 12x = 0 Solving 40 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 12x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 12x = 0 + -40 12x = 0 + -40 Combine like terms: 0 + -40 = -40 12x = -40 Divide each side by '12'. x = -3.333333333 Simplifying x = -3.333333333
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