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Simplifying 10(x + -10) = 8x Reorder the terms: 10(-10 + x) = 8x (-10 * 10 + x * 10) = 8x (-100 + 10x) = 8x Solving -100 + 10x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -100 + 10x + -8x = 8x + -8x Combine like terms: 10x + -8x = 2x -100 + 2x = 8x + -8x Combine like terms: 8x + -8x = 0 -100 + 2x = 0 Add '100' to each side of the equation. -100 + 100 + 2x = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 2x = 0 + 100 2x = 0 + 100 Combine like terms: 0 + 100 = 100 2x = 100 Divide each side by '2'. x = 50 Simplifying x = 50
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