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Simplifying -30(x + -2) = 20(x + -3) Reorder the terms: -30(-2 + x) = 20(x + -3) (-2 * -30 + x * -30) = 20(x + -3) (60 + -30x) = 20(x + -3) Reorder the terms: 60 + -30x = 20(-3 + x) 60 + -30x = (-3 * 20 + x * 20) 60 + -30x = (-60 + 20x) Solving 60 + -30x = -60 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 60 + -30x + -20x = -60 + 20x + -20x Combine like terms: -30x + -20x = -50x 60 + -50x = -60 + 20x + -20x Combine like terms: 20x + -20x = 0 60 + -50x = -60 + 0 60 + -50x = -60 Add '-60' to each side of the equation. 60 + -60 + -50x = -60 + -60 Combine like terms: 60 + -60 = 0 0 + -50x = -60 + -60 -50x = -60 + -60 Combine like terms: -60 + -60 = -120 -50x = -120 Divide each side by '-50'. x = 2.4 Simplifying x = 2.4
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