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Simplifying 6(-10 + 10x) = 6(5x + 10) (-10 * 6 + 10x * 6) = 6(5x + 10) (-60 + 60x) = 6(5x + 10) Reorder the terms: -60 + 60x = 6(10 + 5x) -60 + 60x = (10 * 6 + 5x * 6) -60 + 60x = (60 + 30x) Solving -60 + 60x = 60 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -60 + 60x + -30x = 60 + 30x + -30x Combine like terms: 60x + -30x = 30x -60 + 30x = 60 + 30x + -30x Combine like terms: 30x + -30x = 0 -60 + 30x = 60 + 0 -60 + 30x = 60 Add '60' to each side of the equation. -60 + 60 + 30x = 60 + 60 Combine like terms: -60 + 60 = 0 0 + 30x = 60 + 60 30x = 60 + 60 Combine like terms: 60 + 60 = 120 30x = 120 Divide each side by '30'. x = 4 Simplifying x = 4
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