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Simplifying 11 + -7x = 47 + -21x Solving 11 + -7x = 47 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 11 + -7x + 21x = 47 + -21x + 21x Combine like terms: -7x + 21x = 14x 11 + 14x = 47 + -21x + 21x Combine like terms: -21x + 21x = 0 11 + 14x = 47 + 0 11 + 14x = 47 Add '-11' to each side of the equation. 11 + -11 + 14x = 47 + -11 Combine like terms: 11 + -11 = 0 0 + 14x = 47 + -11 14x = 47 + -11 Combine like terms: 47 + -11 = 36 14x = 36 Divide each side by '14'. x = 2.571428571 Simplifying x = 2.571428571
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