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Simplifying 10x + -47 = 13 + 6x Reorder the terms: -47 + 10x = 13 + 6x Solving -47 + 10x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -47 + 10x + -6x = 13 + 6x + -6x Combine like terms: 10x + -6x = 4x -47 + 4x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 -47 + 4x = 13 + 0 -47 + 4x = 13 Add '47' to each side of the equation. -47 + 47 + 4x = 13 + 47 Combine like terms: -47 + 47 = 0 0 + 4x = 13 + 47 4x = 13 + 47 Combine like terms: 13 + 47 = 60 4x = 60 Divide each side by '4'. x = 15 Simplifying x = 15
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