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Simplifying 7x + -17 + 2x = 8x + 15 Reorder the terms: -17 + 7x + 2x = 8x + 15 Combine like terms: 7x + 2x = 9x -17 + 9x = 8x + 15 Reorder the terms: -17 + 9x = 15 + 8x Solving -17 + 9x = 15 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -17 + 9x + -8x = 15 + 8x + -8x Combine like terms: 9x + -8x = 1x -17 + 1x = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 -17 + 1x = 15 + 0 -17 + 1x = 15 Add '17' to each side of the equation. -17 + 17 + 1x = 15 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = 15 + 17 1x = 15 + 17 Combine like terms: 15 + 17 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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