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Simplifying 6(x + 2) + -1(2x + -8) = 0 Reorder the terms: 6(2 + x) + -1(2x + -8) = 0 (2 * 6 + x * 6) + -1(2x + -8) = 0 (12 + 6x) + -1(2x + -8) = 0 Reorder the terms: 12 + 6x + -1(-8 + 2x) = 0 12 + 6x + (-8 * -1 + 2x * -1) = 0 12 + 6x + (8 + -2x) = 0 Reorder the terms: 12 + 8 + 6x + -2x = 0 Combine like terms: 12 + 8 = 20 20 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x 20 + 4x = 0 Solving 20 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 4x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 0 + -20 4x = 0 + -20 Combine like terms: 0 + -20 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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