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Simplifying 10x + -15 = 5x + 45 Reorder the terms: -15 + 10x = 5x + 45 Reorder the terms: -15 + 10x = 45 + 5x Solving -15 + 10x = 45 + 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. -15 + 10x + -5x = 45 + 5x + -5x Combine like terms: 10x + -5x = 5x -15 + 5x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 5x = 45 + 0 -15 + 5x = 45 Add '15' to each side of the equation. -15 + 15 + 5x = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 45 + 15 5x = 45 + 15 Combine like terms: 45 + 15 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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