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Simplifying 10(x + -1) = 5(2 + -1x) + 5x Reorder the terms: 10(-1 + x) = 5(2 + -1x) + 5x (-1 * 10 + x * 10) = 5(2 + -1x) + 5x (-10 + 10x) = 5(2 + -1x) + 5x -10 + 10x = (2 * 5 + -1x * 5) + 5x -10 + 10x = (10 + -5x) + 5x Combine like terms: -5x + 5x = 0 -10 + 10x = 10 + 0 -10 + 10x = 10 Solving -10 + 10x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 10x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 10 + 10 10x = 10 + 10 Combine like terms: 10 + 10 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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