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Simplifying 17x + -14 + 5 = 31 + 38x Reorder the terms: -14 + 5 + 17x = 31 + 38x Combine like terms: -14 + 5 = -9 -9 + 17x = 31 + 38x Solving -9 + 17x = 31 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. -9 + 17x + -38x = 31 + 38x + -38x Combine like terms: 17x + -38x = -21x -9 + -21x = 31 + 38x + -38x Combine like terms: 38x + -38x = 0 -9 + -21x = 31 + 0 -9 + -21x = 31 Add '9' to each side of the equation. -9 + 9 + -21x = 31 + 9 Combine like terms: -9 + 9 = 0 0 + -21x = 31 + 9 -21x = 31 + 9 Combine like terms: 31 + 9 = 40 -21x = 40 Divide each side by '-21'. x = -1.904761905 Simplifying x = -1.904761905
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