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Simplifying 6x + 17 + -2x = 47 Reorder the terms: 17 + 6x + -2x = 47 Combine like terms: 6x + -2x = 4x 17 + 4x = 47 Solving 17 + 4x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4x = 47 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 47 + -17 4x = 47 + -17 Combine like terms: 47 + -17 = 30 4x = 30 Divide each side by '4'. x = 7.5 Simplifying x = 7.5
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