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Simplifying 8x + 17 = 7x + 35 Reorder the terms: 17 + 8x = 7x + 35 Reorder the terms: 17 + 8x = 35 + 7x Solving 17 + 8x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 17 + 8x + -7x = 35 + 7x + -7x Combine like terms: 8x + -7x = 1x 17 + 1x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + 1x = 35 + 0 17 + 1x = 35 Add '-17' to each side of the equation. 17 + -17 + 1x = 35 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 35 + -17 1x = 35 + -17 Combine like terms: 35 + -17 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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