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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) Add '60' to each side of the equation. -60 + 60 + -30x = -60 + 60 + 20x Combine like terms: -60 + 60 = 0 0 + -30x = -60 + 60 + 20x -30x = -60 + 60 + 20x Combine like terms: -60 + 60 = 0 -30x = 0 + 20x -30x = 20x Solving -30x = 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. -30x + -20x = 20x + -20x Combine like terms: -30x + -20x = -50x -50x = 20x + -20x Combine like terms: 20x + -20x = 0 -50x = 0 Divide each side by '-50'. x = 0.0 Simplifying x = 0.0
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