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Simplifying 5(x + 4) + -1(2x + -6) = 0 Reorder the terms: 5(4 + x) + -1(2x + -6) = 0 (4 * 5 + x * 5) + -1(2x + -6) = 0 (20 + 5x) + -1(2x + -6) = 0 Reorder the terms: 20 + 5x + -1(-6 + 2x) = 0 20 + 5x + (-6 * -1 + 2x * -1) = 0 20 + 5x + (6 + -2x) = 0 Reorder the terms: 20 + 6 + 5x + -2x = 0 Combine like terms: 20 + 6 = 26 26 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x 26 + 3x = 0 Solving 26 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 3x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 3x = 0 + -26 3x = 0 + -26 Combine like terms: 0 + -26 = -26 3x = -26 Divide each side by '3'. x = -8.666666667 Simplifying x = -8.666666667
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