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Simplifying 7 + -10x = 82 + -31x Solving 7 + -10x = 82 + -31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31x' to each side of the equation. 7 + -10x + 31x = 82 + -31x + 31x Combine like terms: -10x + 31x = 21x 7 + 21x = 82 + -31x + 31x Combine like terms: -31x + 31x = 0 7 + 21x = 82 + 0 7 + 21x = 82 Add '-7' to each side of the equation. 7 + -7 + 21x = 82 + -7 Combine like terms: 7 + -7 = 0 0 + 21x = 82 + -7 21x = 82 + -7 Combine like terms: 82 + -7 = 75 21x = 75 Divide each side by '21'. x = 3.571428571 Simplifying x = 3.571428571
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