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Simplifying -47 + 6x = 38 + x Solving -47 + 6x = 38 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -47 + 6x + -1x = 38 + x + -1x Combine like terms: 6x + -1x = 5x -47 + 5x = 38 + x + -1x Combine like terms: x + -1x = 0 -47 + 5x = 38 + 0 -47 + 5x = 38 Add '47' to each side of the equation. -47 + 47 + 5x = 38 + 47 Combine like terms: -47 + 47 = 0 0 + 5x = 38 + 47 5x = 38 + 47 Combine like terms: 38 + 47 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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