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Simplifying 2(x + 6) + 4(x + 4) = 0 Reorder the terms: 2(6 + x) + 4(x + 4) = 0 (6 * 2 + x * 2) + 4(x + 4) = 0 (12 + 2x) + 4(x + 4) = 0 Reorder the terms: 12 + 2x + 4(4 + x) = 0 12 + 2x + (4 * 4 + x * 4) = 0 12 + 2x + (16 + 4x) = 0 Reorder the terms: 12 + 16 + 2x + 4x = 0 Combine like terms: 12 + 16 = 28 28 + 2x + 4x = 0 Combine like terms: 2x + 4x = 6x 28 + 6x = 0 Solving 28 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 6x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 6x = 0 + -28 6x = 0 + -28 Combine like terms: 0 + -28 = -28 6x = -28 Divide each side by '6'. x = -4.666666667 Simplifying x = -4.666666667
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