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Simplifying 5x + 17 = 2x + 35 Reorder the terms: 17 + 5x = 2x + 35 Reorder the terms: 17 + 5x = 35 + 2x Solving 17 + 5x = 35 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 17 + 5x + -2x = 35 + 2x + -2x Combine like terms: 5x + -2x = 3x 17 + 3x = 35 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + 3x = 35 + 0 17 + 3x = 35 Add '-17' to each side of the equation. 17 + -17 + 3x = 35 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 35 + -17 3x = 35 + -17 Combine like terms: 35 + -17 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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