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Simplifying 9(3 + -5x) = 4(x + 5) (3 * 9 + -5x * 9) = 4(x + 5) (27 + -45x) = 4(x + 5) Reorder the terms: 27 + -45x = 4(5 + x) 27 + -45x = (5 * 4 + x * 4) 27 + -45x = (20 + 4x) Solving 27 + -45x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 27 + -45x + -4x = 20 + 4x + -4x Combine like terms: -45x + -4x = -49x 27 + -49x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + -49x = 20 + 0 27 + -49x = 20 Add '-27' to each side of the equation. 27 + -27 + -49x = 20 + -27 Combine like terms: 27 + -27 = 0 0 + -49x = 20 + -27 -49x = 20 + -27 Combine like terms: 20 + -27 = -7 -49x = -7 Divide each side by '-49'. x = 0.1428571429 Simplifying x = 0.1428571429
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