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Simplifying 6 + -10x = 102 + -31x Solving 6 + -10x = 102 + -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. 6 + -10x + 31x = 102 + -31x + 31x Combine like terms: -10x + 31x = 21x 6 + 21x = 102 + -31x + 31x Combine like terms: -31x + 31x = 0 6 + 21x = 102 + 0 6 + 21x = 102 Add '-6' to each side of the equation. 6 + -6 + 21x = 102 + -6 Combine like terms: 6 + -6 = 0 0 + 21x = 102 + -6 21x = 102 + -6 Combine like terms: 102 + -6 = 96 21x = 96 Divide each side by '21'. x = 4.571428571 Simplifying x = 4.571428571
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