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Simplifying 10x + 2 = 5x + 52 Reorder the terms: 2 + 10x = 5x + 52 Reorder the terms: 2 + 10x = 52 + 5x Solving 2 + 10x = 52 + 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 = 52 + 5x + -5x Combine like terms: 10x + -5x = 5x 2 + 5x = 52 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 5x = 52 + 0 2 + 5x = 52 Add '-2' to each side of the equation. 2 + -2 + 5x = 52 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 52 + -2 5x = 52 + -2 Combine like terms: 52 + -2 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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