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Simplifying 8x + 17 = 3x + 47 Reorder the terms: 17 + 8x = 3x + 47 Reorder the terms: 17 + 8x = 47 + 3x Solving 17 + 8x = 47 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 17 + 8x + -3x = 47 + 3x + -3x Combine like terms: 8x + -3x = 5x 17 + 5x = 47 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + 5x = 47 + 0 17 + 5x = 47 Add '-17' to each side of the equation. 17 + -17 + 5x = 47 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 47 + -17 5x = 47 + -17 Combine like terms: 47 + -17 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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