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Simplifying 15(9x + -1) + 15(9 + -5x) = 0 Reorder the terms: 15(-1 + 9x) + 15(9 + -5x) = 0 (-1 * 15 + 9x * 15) + 15(9 + -5x) = 0 (-15 + 135x) + 15(9 + -5x) = 0 -15 + 135x + (9 * 15 + -5x * 15) = 0 -15 + 135x + (135 + -75x) = 0 Reorder the terms: -15 + 135 + 135x + -75x = 0 Combine like terms: -15 + 135 = 120 120 + 135x + -75x = 0 Combine like terms: 135x + -75x = 60x 120 + 60x = 0 Solving 120 + 60x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 60x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + 60x = 0 + -120 60x = 0 + -120 Combine like terms: 0 + -120 = -120 60x = -120 Divide each side by '60'. x = -2 Simplifying x = -2
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