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Simplifying 4x + 8 + 8x + 17 = 7x + 35 Reorder the terms: 8 + 17 + 4x + 8x = 7x + 35 Combine like terms: 8 + 17 = 25 25 + 4x + 8x = 7x + 35 Combine like terms: 4x + 8x = 12x 25 + 12x = 7x + 35 Reorder the terms: 25 + 12x = 35 + 7x Solving 25 + 12x = 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. 25 + 12x + -7x = 35 + 7x + -7x Combine like terms: 12x + -7x = 5x 25 + 5x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 25 + 5x = 35 + 0 25 + 5x = 35 Add '-25' to each side of the equation. 25 + -25 + 5x = 35 + -25 Combine like terms: 25 + -25 = 0 0 + 5x = 35 + -25 5x = 35 + -25 Combine like terms: 35 + -25 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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