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Simplifying 6(x + 2) + -1(4x + -5) = 0 Reorder the terms: 6(2 + x) + -1(4x + -5) = 0 (2 * 6 + x * 6) + -1(4x + -5) = 0 (12 + 6x) + -1(4x + -5) = 0 Reorder the terms: 12 + 6x + -1(-5 + 4x) = 0 12 + 6x + (-5 * -1 + 4x * -1) = 0 12 + 6x + (5 + -4x) = 0 Reorder the terms: 12 + 5 + 6x + -4x = 0 Combine like terms: 12 + 5 = 17 17 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 17 + 2x = 0 Solving 17 + 2x = 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 + 2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 0 + -17 2x = 0 + -17 Combine like terms: 0 + -17 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5
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