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Simplifying -3(4 + -5x) = 9(5x + 2) (4 * -3 + -5x * -3) = 9(5x + 2) (-12 + 15x) = 9(5x + 2) Reorder the terms: -12 + 15x = 9(2 + 5x) -12 + 15x = (2 * 9 + 5x * 9) -12 + 15x = (18 + 45x) Solving -12 + 15x = 18 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -12 + 15x + -45x = 18 + 45x + -45x Combine like terms: 15x + -45x = -30x -12 + -30x = 18 + 45x + -45x Combine like terms: 45x + -45x = 0 -12 + -30x = 18 + 0 -12 + -30x = 18 Add '12' to each side of the equation. -12 + 12 + -30x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -30x = 18 + 12 -30x = 18 + 12 Combine like terms: 18 + 12 = 30 -30x = 30 Divide each side by '-30'. x = -1 Simplifying x = -1
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