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Simplifying 10(12x + -6) = 5(2 + x) Reorder the terms: 10(-6 + 12x) = 5(2 + x) (-6 * 10 + 12x * 10) = 5(2 + x) (-60 + 120x) = 5(2 + x) -60 + 120x = (2 * 5 + x * 5) -60 + 120x = (10 + 5x) Solving -60 + 120x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -60 + 120x + -5x = 10 + 5x + -5x Combine like terms: 120x + -5x = 115x -60 + 115x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -60 + 115x = 10 + 0 -60 + 115x = 10 Add '60' to each side of the equation. -60 + 60 + 115x = 10 + 60 Combine like terms: -60 + 60 = 0 0 + 115x = 10 + 60 115x = 10 + 60 Combine like terms: 10 + 60 = 70 115x = 70 Divide each side by '115'. x = 0.6086956522 Simplifying x = 0.6086956522
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