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