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Simplifying 10(x + -6) = 5(x + 8) Reorder the terms: 10(-6 + x) = 5(x + 8) (-6 * 10 + x * 10) = 5(x + 8) (-60 + 10x) = 5(x + 8) Reorder the terms: -60 + 10x = 5(8 + x) -60 + 10x = (8 * 5 + x * 5) -60 + 10x = (40 + 5x) Solving -60 + 10x = 40 + 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 + 10x + -5x = 40 + 5x + -5x Combine like terms: 10x + -5x = 5x -60 + 5x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 -60 + 5x = 40 + 0 -60 + 5x = 40 Add '60' to each side of the equation. -60 + 60 + 5x = 40 + 60 Combine like terms: -60 + 60 = 0 0 + 5x = 40 + 60 5x = 40 + 60 Combine like terms: 40 + 60 = 100 5x = 100 Divide each side by '5'. x = 20 Simplifying x = 20
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