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Simplifying 6(x + 3) + -1(4x + -5) = 0 Reorder the terms: 6(3 + x) + -1(4x + -5) = 0 (3 * 6 + x * 6) + -1(4x + -5) = 0 (18 + 6x) + -1(4x + -5) = 0 Reorder the terms: 18 + 6x + -1(-5 + 4x) = 0 18 + 6x + (-5 * -1 + 4x * -1) = 0 18 + 6x + (5 + -4x) = 0 Reorder the terms: 18 + 5 + 6x + -4x = 0 Combine like terms: 18 + 5 = 23 23 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 23 + 2x = 0 Solving 23 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 2x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 2x = 0 + -23 2x = 0 + -23 Combine like terms: 0 + -23 = -23 2x = -23 Divide each side by '2'. x = -11.5 Simplifying x = -11.5
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