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Simplifying 2(6x + 8) + -2(3x + -6) = 0 Reorder the terms: 2(8 + 6x) + -2(3x + -6) = 0 (8 * 2 + 6x * 2) + -2(3x + -6) = 0 (16 + 12x) + -2(3x + -6) = 0 Reorder the terms: 16 + 12x + -2(-6 + 3x) = 0 16 + 12x + (-6 * -2 + 3x * -2) = 0 16 + 12x + (12 + -6x) = 0 Reorder the terms: 16 + 12 + 12x + -6x = 0 Combine like terms: 16 + 12 = 28 28 + 12x + -6x = 0 Combine like terms: 12x + -6x = 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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