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Simplifying 7x + -14 = 10x + 17 Reorder the terms: -14 + 7x = 10x + 17 Reorder the terms: -14 + 7x = 17 + 10x Solving -14 + 7x = 17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -14 + 7x + -10x = 17 + 10x + -10x Combine like terms: 7x + -10x = -3x -14 + -3x = 17 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + -3x = 17 + 0 -14 + -3x = 17 Add '14' to each side of the equation. -14 + 14 + -3x = 17 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 17 + 14 -3x = 17 + 14 Combine like terms: 17 + 14 = 31 -3x = 31 Divide each side by '-3'. x = -10.33333333 Simplifying x = -10.33333333
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