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Simplifying 30(5x + 10) = 5(4x + -12) Reorder the terms: 30(10 + 5x) = 5(4x + -12) (10 * 30 + 5x * 30) = 5(4x + -12) (300 + 150x) = 5(4x + -12) Reorder the terms: 300 + 150x = 5(-12 + 4x) 300 + 150x = (-12 * 5 + 4x * 5) 300 + 150x = (-60 + 20x) Solving 300 + 150x = -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. 300 + 150x + -20x = -60 + 20x + -20x Combine like terms: 150x + -20x = 130x 300 + 130x = -60 + 20x + -20x Combine like terms: 20x + -20x = 0 300 + 130x = -60 + 0 300 + 130x = -60 Add '-300' to each side of the equation. 300 + -300 + 130x = -60 + -300 Combine like terms: 300 + -300 = 0 0 + 130x = -60 + -300 130x = -60 + -300 Combine like terms: -60 + -300 = -360 130x = -360 Divide each side by '130'. x = -2.769230769 Simplifying x = -2.769230769
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