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Simplifying 3(3x + -1) + 4(9 + -5x) = 0 Reorder the terms: 3(-1 + 3x) + 4(9 + -5x) = 0 (-1 * 3 + 3x * 3) + 4(9 + -5x) = 0 (-3 + 9x) + 4(9 + -5x) = 0 -3 + 9x + (9 * 4 + -5x * 4) = 0 -3 + 9x + (36 + -20x) = 0 Reorder the terms: -3 + 36 + 9x + -20x = 0 Combine like terms: -3 + 36 = 33 33 + 9x + -20x = 0 Combine like terms: 9x + -20x = -11x 33 + -11x = 0 Solving 33 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -11x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -11x = 0 + -33 -11x = 0 + -33 Combine like terms: 0 + -33 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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