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Simplifying -5(-6x + -4) = 10(x + 6) Reorder the terms: -5(-4 + -6x) = 10(x + 6) (-4 * -5 + -6x * -5) = 10(x + 6) (20 + 30x) = 10(x + 6) Reorder the terms: 20 + 30x = 10(6 + x) 20 + 30x = (6 * 10 + x * 10) 20 + 30x = (60 + 10x) Solving 20 + 30x = 60 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 20 + 30x + -10x = 60 + 10x + -10x Combine like terms: 30x + -10x = 20x 20 + 20x = 60 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + 20x = 60 + 0 20 + 20x = 60 Add '-20' to each side of the equation. 20 + -20 + 20x = 60 + -20 Combine like terms: 20 + -20 = 0 0 + 20x = 60 + -20 20x = 60 + -20 Combine like terms: 60 + -20 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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