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Simplifying 10x + -14 = 9x + 17 Reorder the terms: -14 + 10x = 9x + 17 Reorder the terms: -14 + 10x = 17 + 9x Solving -14 + 10x = 17 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -14 + 10x + -9x = 17 + 9x + -9x Combine like terms: 10x + -9x = 1x -14 + 1x = 17 + 9x + -9x Combine like terms: 9x + -9x = 0 -14 + 1x = 17 + 0 -14 + 1x = 17 Add '14' to each side of the equation. -14 + 14 + 1x = 17 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 17 + 14 1x = 17 + 14 Combine like terms: 17 + 14 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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