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Simplifying 10x + -47 = 5x + 53 Reorder the terms: -47 + 10x = 5x + 53 Reorder the terms: -47 + 10x = 53 + 5x Solving -47 + 10x = 53 + 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. -47 + 10x + -5x = 53 + 5x + -5x Combine like terms: 10x + -5x = 5x -47 + 5x = 53 + 5x + -5x Combine like terms: 5x + -5x = 0 -47 + 5x = 53 + 0 -47 + 5x = 53 Add '47' to each side of the equation. -47 + 47 + 5x = 53 + 47 Combine like terms: -47 + 47 = 0 0 + 5x = 53 + 47 5x = 53 + 47 Combine like terms: 53 + 47 = 100 5x = 100 Divide each side by '5'. x = 20 Simplifying x = 20
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