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Simplifying 3(4x + 5) + -1(9x + -2) = 0 Reorder the terms: 3(5 + 4x) + -1(9x + -2) = 0 (5 * 3 + 4x * 3) + -1(9x + -2) = 0 (15 + 12x) + -1(9x + -2) = 0 Reorder the terms: 15 + 12x + -1(-2 + 9x) = 0 15 + 12x + (-2 * -1 + 9x * -1) = 0 15 + 12x + (2 + -9x) = 0 Reorder the terms: 15 + 2 + 12x + -9x = 0 Combine like terms: 15 + 2 = 17 17 + 12x + -9x = 0 Combine like terms: 12x + -9x = 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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