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Simplifying 6(x + 5) + -1(3x + -5) = 0 Reorder the terms: 6(5 + x) + -1(3x + -5) = 0 (5 * 6 + x * 6) + -1(3x + -5) = 0 (30 + 6x) + -1(3x + -5) = 0 Reorder the terms: 30 + 6x + -1(-5 + 3x) = 0 30 + 6x + (-5 * -1 + 3x * -1) = 0 30 + 6x + (5 + -3x) = 0 Reorder the terms: 30 + 5 + 6x + -3x = 0 Combine like terms: 30 + 5 = 35 35 + 6x + -3x = 0 Combine like terms: 6x + -3x = 3x 35 + 3x = 0 Solving 35 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 3x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 3x = 0 + -35 3x = 0 + -35 Combine like terms: 0 + -35 = -35 3x = -35 Divide each side by '3'. x = -11.66666667 Simplifying x = -11.66666667
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