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Simplifying 10x + -2 = 5x + 13 Reorder the terms: -2 + 10x = 5x + 13 Reorder the terms: -2 + 10x = 13 + 5x Solving -2 + 10x = 13 + 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. -2 + 10x + -5x = 13 + 5x + -5x Combine like terms: 10x + -5x = 5x -2 + 5x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 5x = 13 + 0 -2 + 5x = 13 Add '2' to each side of the equation. -2 + 2 + 5x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 13 + 2 5x = 13 + 2 Combine like terms: 13 + 2 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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