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Simplifying 3(3 + -2x) = -4(3x + 5) (3 * 3 + -2x * 3) = -4(3x + 5) (9 + -6x) = -4(3x + 5) Reorder the terms: 9 + -6x = -4(5 + 3x) 9 + -6x = (5 * -4 + 3x * -4) 9 + -6x = (-20 + -12x) Solving 9 + -6x = -20 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 9 + -6x + 12x = -20 + -12x + 12x Combine like terms: -6x + 12x = 6x 9 + 6x = -20 + -12x + 12x Combine like terms: -12x + 12x = 0 9 + 6x = -20 + 0 9 + 6x = -20 Add '-9' to each side of the equation. 9 + -9 + 6x = -20 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = -20 + -9 6x = -20 + -9 Combine like terms: -20 + -9 = -29 6x = -29 Divide each side by '6'. x = -4.833333333 Simplifying x = -4.833333333
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