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Simplifying 21x + 6 = 17x + 31 Reorder the terms: 6 + 21x = 17x + 31 Reorder the terms: 6 + 21x = 31 + 17x Solving 6 + 21x = 31 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 6 + 21x + -17x = 31 + 17x + -17x Combine like terms: 21x + -17x = 4x 6 + 4x = 31 + 17x + -17x Combine like terms: 17x + -17x = 0 6 + 4x = 31 + 0 6 + 4x = 31 Add '-6' to each side of the equation. 6 + -6 + 4x = 31 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 31 + -6 4x = 31 + -6 Combine like terms: 31 + -6 = 25 4x = 25 Divide each side by '4'. x = 6.25 Simplifying x = 6.25
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