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Simplifying 6(x + 2) + -1(3x + -5) = 0 Reorder the terms: 6(2 + x) + -1(3x + -5) = 0 (2 * 6 + x * 6) + -1(3x + -5) = 0 (12 + 6x) + -1(3x + -5) = 0 Reorder the terms: 12 + 6x + -1(-5 + 3x) = 0 12 + 6x + (-5 * -1 + 3x * -1) = 0 12 + 6x + (5 + -3x) = 0 Reorder the terms: 12 + 5 + 6x + -3x = 0 Combine like terms: 12 + 5 = 17 17 + 6x + -3x = 0 Combine like terms: 6x + -3x = 3x 17 + 3x = 0 Solving 17 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 0 + -17 3x = 0 + -17 Combine like terms: 0 + -17 = -17 3x = -17 Divide each side by '3'. x = -5.666666667 Simplifying x = -5.666666667
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