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Simplifying x * 10 + -100 = x * 5 + -5 Reorder the terms for easier multiplication: 10x + -100 = x * 5 + -5 Reorder the terms: -100 + 10x = x * 5 + -5 Reorder the terms for easier multiplication: -100 + 10x = 5x + -5 Reorder the terms: -100 + 10x = -5 + 5x Solving -100 + 10x = -5 + 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. -100 + 10x + -5x = -5 + 5x + -5x Combine like terms: 10x + -5x = 5x -100 + 5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -100 + 5x = -5 + 0 -100 + 5x = -5 Add '100' to each side of the equation. -100 + 100 + 5x = -5 + 100 Combine like terms: -100 + 100 = 0 0 + 5x = -5 + 100 5x = -5 + 100 Combine like terms: -5 + 100 = 95 5x = 95 Divide each side by '5'. x = 19 Simplifying x = 19
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