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Simplifying 5(-6x + 2) = 4(5x + 10) Reorder the terms: 5(2 + -6x) = 4(5x + 10) (2 * 5 + -6x * 5) = 4(5x + 10) (10 + -30x) = 4(5x + 10) Reorder the terms: 10 + -30x = 4(10 + 5x) 10 + -30x = (10 * 4 + 5x * 4) 10 + -30x = (40 + 20x) Solving 10 + -30x = 40 + 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. 10 + -30x + -20x = 40 + 20x + -20x Combine like terms: -30x + -20x = -50x 10 + -50x = 40 + 20x + -20x Combine like terms: 20x + -20x = 0 10 + -50x = 40 + 0 10 + -50x = 40 Add '-10' to each side of the equation. 10 + -10 + -50x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -50x = 40 + -10 -50x = 40 + -10 Combine like terms: 40 + -10 = 30 -50x = 30 Divide each side by '-50'. x = -0.6 Simplifying x = -0.6
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