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Simplifying 10(x + -2) = 5(x + 8) Reorder the terms: 10(-2 + x) = 5(x + 8) (-2 * 10 + x * 10) = 5(x + 8) (-20 + 10x) = 5(x + 8) Reorder the terms: -20 + 10x = 5(8 + x) -20 + 10x = (8 * 5 + x * 5) -20 + 10x = (40 + 5x) Solving -20 + 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. -20 + 10x + -5x = 40 + 5x + -5x Combine like terms: 10x + -5x = 5x -20 + 5x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 5x = 40 + 0 -20 + 5x = 40 Add '20' to each side of the equation. -20 + 20 + 5x = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 40 + 20 5x = 40 + 20 Combine like terms: 40 + 20 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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